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Finding the Fourth Proportional to 132,494.36, 182,781.87 and 78,748.83

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Solution

The fourth proportional to 132,494.36, 182,781.87 and 78,748.83 is: 108,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,494.36 : 182,781.87 = 78,748.83 : x
  2. Step 2: Convert to fraction form
    132,494.36/182,781.87 = 78,748.83/x
  3. Step 3: Cross multiply
    132,494.36x = 182,781.87 × 78,748.83
  4. Step 4: Simplify right side
    132,494.36x = 14,393,858,407.71
  5. Step 5: Solve for x
    x = 14,393,858,407.71/132,494.36
  6. Step 6: Final answer
    x = 108,637.52

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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.