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Finding the Fourth Proportional to 201,992,756.76, 278,749,878.33 and 109,173,264.60

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Solution

The fourth proportional to 201,992,756.76, 278,749,878.33 and 109,173,264.60 is: 150,659,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992,756.76 : 278,749,878.33 = 109,173,264.60 : x
  2. Step 2: Convert to fraction form
    201,992,756.76/278,749,878.33 = 109,173,264.60/x
  3. Step 3: Cross multiply
    201,992,756.76x = 278,749,878.33 × 109,173,264.60
  4. Step 4: Simplify right side
    201,992,756.76x = 30,432,034,224,138,892
  5. Step 5: Solve for x
    x = 30,432,034,224,138,892/201,992,756.76
  6. Step 6: Final answer
    x = 150,659,037.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.