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Finding the Fourth Proportional to 131,695, 181,740.20 and 77,279.71

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Solution

The fourth proportional to 131,695, 181,740.20 and 77,279.71 is: 106,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,695 : 181,740.20 = 77,279.71 : x
  2. Step 2: Convert to fraction form
    131,695/181,740.20 = 77,279.71/x
  3. Step 3: Cross multiply
    131,695x = 181,740.20 × 77,279.71
  4. Step 4: Simplify right side
    131,695x = 14,044,829,951.34
  5. Step 5: Solve for x
    x = 14,044,829,951.34/131,695
  6. Step 6: Final answer
    x = 106,646.65

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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.