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Finding the Fourth Proportional to 206,657,671.78, 309,986,508.13 and 85,489,123.78

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Solution

The fourth proportional to 206,657,671.78, 309,986,508.13 and 85,489,123.78 is: 128,233,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,657,671.78 : 309,986,508.13 = 85,489,123.78 : x
  2. Step 2: Convert to fraction form
    206,657,671.78/309,986,508.13 = 85,489,123.78/x
  3. Step 3: Cross multiply
    206,657,671.78x = 309,986,508.13 × 85,489,123.78
  4. Step 4: Simplify right side
    206,657,671.78x = 26,500,474,963,829,308
  5. Step 5: Solve for x
    x = 26,500,474,963,829,308/206,657,671.78
  6. Step 6: Final answer
    x = 128,233,685.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.