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Finding the Fourth Proportional to 137,233.60, 205,629.60 and 77,892.80

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Solution

The fourth proportional to 137,233.60, 205,629.60 and 77,892.80 is: 116,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.60 : 205,629.60 = 77,892.80 : x
  2. Step 2: Convert to fraction form
    137,233.60/205,629.60 = 77,892.80/x
  3. Step 3: Cross multiply
    137,233.60x = 205,629.60 × 77,892.80
  4. Step 4: Simplify right side
    137,233.60x = 16,017,065,306.88
  5. Step 5: Solve for x
    x = 16,017,065,306.88/137,233.60
  6. Step 6: Final answer
    x = 116,713.88

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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.