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Finding the Fourth Proportional to 120,070.78, 165,693.36 and 72,314.80

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Solution

The fourth proportional to 120,070.78, 165,693.36 and 72,314.80 is: 99,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070.78 : 165,693.36 = 72,314.80 : x
  2. Step 2: Convert to fraction form
    120,070.78/165,693.36 = 72,314.80/x
  3. Step 3: Cross multiply
    120,070.78x = 165,693.36 × 72,314.80
  4. Step 4: Simplify right side
    120,070.78x = 11,982,082,046.68
  5. Step 5: Solve for x
    x = 11,982,082,046.68/120,070.78
  6. Step 6: Final answer
    x = 99,791.83

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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.