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Finding the Fourth Proportional to 78,732,101.05, 118,098,151.65 and 78,732,101.05

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Solution

The fourth proportional to 78,732,101.05, 118,098,151.65 and 78,732,101.05 is: 118,098,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732,101.05 : 118,098,151.65 = 78,732,101.05 : x
  2. Step 2: Convert to fraction form
    78,732,101.05/118,098,151.65 = 78,732,101.05/x
  3. Step 3: Cross multiply
    78,732,101.05x = 118,098,151.65 × 78,732,101.05
  4. Step 4: Simplify right side
    78,732,101.05x = 9,298,115,609,132,364
  5. Step 5: Solve for x
    x = 9,298,115,609,132,364/78,732,101.05
  6. Step 6: Final answer
    x = 118,098,151.65

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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.