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Finding the Fourth Proportional to 131,458.92, 181,348 and 77,717.76

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Solution

The fourth proportional to 131,458.92, 181,348 and 77,717.76 is: 107,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,458.92 : 181,348 = 77,717.76 : x
  2. Step 2: Convert to fraction form
    131,458.92/181,348 = 77,717.76/x
  3. Step 3: Cross multiply
    131,458.92x = 181,348 × 77,717.76
  4. Step 4: Simplify right side
    131,458.92x = 14,093,960,340.48
  5. Step 5: Solve for x
    x = 14,093,960,340.48/131,458.92
  6. Step 6: Final answer
    x = 107,211.90

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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.