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Finding the Fourth Proportional to 83,744,404.70, 125,616,607.05 and 77,697,787.10

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Solution

The fourth proportional to 83,744,404.70, 125,616,607.05 and 77,697,787.10 is: 116,546,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,744,404.70 : 125,616,607.05 = 77,697,787.10 : x
  2. Step 2: Convert to fraction form
    83,744,404.70/125,616,607.05 = 77,697,787.10/x
  3. Step 3: Cross multiply
    83,744,404.70x = 125,616,607.05 × 77,697,787.10
  4. Step 4: Simplify right side
    83,744,404.70x = 9,760,132,390,795,258
  5. Step 5: Solve for x
    x = 9,760,132,390,795,258/83,744,404.70
  6. Step 6: Final answer
    x = 116,546,680.65

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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.