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Finding the Fourth Proportional to 201,992,758.32, 278,749,880.49 and 109,173,266.16

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Solution

The fourth proportional to 201,992,758.32, 278,749,880.49 and 109,173,266.16 is: 150,659,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992,758.32 : 278,749,880.49 = 109,173,266.16 : x
  2. Step 2: Convert to fraction form
    201,992,758.32/278,749,880.49 = 109,173,266.16/x
  3. Step 3: Cross multiply
    201,992,758.32x = 278,749,880.49 × 109,173,266.16
  4. Step 4: Simplify right side
    201,992,758.32x = 30,432,034,894,802,960
  5. Step 5: Solve for x
    x = 30,432,034,894,802,960/201,992,758.32
  6. Step 6: Final answer
    x = 150,659,039.21

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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.