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Finding the Fourth Proportional to 141,447.76, 195,192.48 and 77,781.76

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Solution

The fourth proportional to 141,447.76, 195,192.48 and 77,781.76 is: 107,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,447.76 : 195,192.48 = 77,781.76 : x
  2. Step 2: Convert to fraction form
    141,447.76/195,192.48 = 77,781.76/x
  3. Step 3: Cross multiply
    141,447.76x = 195,192.48 × 77,781.76
  4. Step 4: Simplify right side
    141,447.76x = 15,182,414,633.16
  5. Step 5: Solve for x
    x = 15,182,414,633.16/141,447.76
  6. Step 6: Final answer
    x = 107,335.84

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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.