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Finding the Fourth Proportional to 131,479.67, 181,454.70 and 77,781.98

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Solution

The fourth proportional to 131,479.67, 181,454.70 and 77,781.98 is: 107,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,479.67 : 181,454.70 = 77,781.98 : x
  2. Step 2: Convert to fraction form
    131,479.67/181,454.70 = 77,781.98/x
  3. Step 3: Cross multiply
    131,479.67x = 181,454.70 × 77,781.98
  4. Step 4: Simplify right side
    131,479.67x = 14,113,904,939.03
  5. Step 5: Solve for x
    x = 14,113,904,939.03/131,479.67
  6. Step 6: Final answer
    x = 107,346.68

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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.