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Finding the Fourth Proportional to 99,841.96, 137,781.06 and 55,129

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Solution

The fourth proportional to 99,841.96, 137,781.06 and 55,129 is: 76,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,841.96 : 137,781.06 = 55,129 : x
  2. Step 2: Convert to fraction form
    99,841.96/137,781.06 = 55,129/x
  3. Step 3: Cross multiply
    99,841.96x = 137,781.06 × 55,129
  4. Step 4: Simplify right side
    99,841.96x = 7,595,732,056.74
  5. Step 5: Solve for x
    x = 7,595,732,056.74/99,841.96
  6. Step 6: Final answer
    x = 76,077.55

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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.