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Finding the Fourth Proportional to 137,032.60, 205,328.10 and 77,691.80

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Solution

The fourth proportional to 137,032.60, 205,328.10 and 77,691.80 is: 116,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,032.60 : 205,328.10 = 77,691.80 : x
  2. Step 2: Convert to fraction form
    137,032.60/205,328.10 = 77,691.80/x
  3. Step 3: Cross multiply
    137,032.60x = 205,328.10 × 77,691.80
  4. Step 4: Simplify right side
    137,032.60x = 15,952,309,679.58
  5. Step 5: Solve for x
    x = 15,952,309,679.58/137,032.60
  6. Step 6: Final answer
    x = 116,412.52

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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.