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Finding the Fourth Proportional to 137,781.52, 190,123.80 and 77,358.81

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Solution

The fourth proportional to 137,781.52, 190,123.80 and 77,358.81 is: 106,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781.52 : 190,123.80 = 77,358.81 : x
  2. Step 2: Convert to fraction form
    137,781.52/190,123.80 = 77,358.81/x
  3. Step 3: Cross multiply
    137,781.52x = 190,123.80 × 77,358.81
  4. Step 4: Simplify right side
    137,781.52x = 14,707,750,163.46
  5. Step 5: Solve for x
    x = 14,707,750,163.46/137,781.52
  6. Step 6: Final answer
    x = 106,746.90

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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.