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Finding the Fourth Proportional to 125,796.34, 188,781.92 and 81,312.76

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Solution

The fourth proportional to 125,796.34, 188,781.92 and 81,312.76 is: 122,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,796.34 : 188,781.92 = 81,312.76 : x
  2. Step 2: Convert to fraction form
    125,796.34/188,781.92 = 81,312.76/x
  3. Step 3: Cross multiply
    125,796.34x = 188,781.92 × 81,312.76
  4. Step 4: Simplify right side
    125,796.34x = 15,350,377,602.83
  5. Step 5: Solve for x
    x = 15,350,377,602.83/125,796.34
  6. Step 6: Final answer
    x = 122,025.63

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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.