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Finding the Fourth Proportional to 202,019,709.88, 278,787,079.50 and 109,200,219.16

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Solution

The fourth proportional to 202,019,709.88, 278,787,079.50 and 109,200,219.16 is: 150,696,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,019,709.88 : 278,787,079.50 = 109,200,219.16 : x
  2. Step 2: Convert to fraction form
    202,019,709.88/278,787,079.50 = 109,200,219.16/x
  3. Step 3: Cross multiply
    202,019,709.88x = 278,787,079.50 × 109,200,219.16
  4. Step 4: Simplify right side
    202,019,709.88x = 30,443,610,180,376,344
  5. Step 5: Solve for x
    x = 30,443,610,180,376,344/202,019,709.88
  6. Step 6: Final answer
    x = 150,696,237.50

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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.