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Finding the Fourth Proportional to 123,857,459.70, 185,786,189.55 and 83,042,790.90

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Solution

The fourth proportional to 123,857,459.70, 185,786,189.55 and 83,042,790.90 is: 124,564,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,857,459.70 : 185,786,189.55 = 83,042,790.90 : x
  2. Step 2: Convert to fraction form
    123,857,459.70/185,786,189.55 = 83,042,790.90/x
  3. Step 3: Cross multiply
    123,857,459.70x = 185,786,189.55 × 83,042,790.90
  4. Step 4: Simplify right side
    123,857,459.70x = 15,428,203,690,908,418
  5. Step 5: Solve for x
    x = 15,428,203,690,908,418/123,857,459.70
  6. Step 6: Final answer
    x = 124,564,186.35

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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.