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Finding the Fourth Proportional to 100,424.67, 138,587.85 and 55,104.90

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Solution

The fourth proportional to 100,424.67, 138,587.85 and 55,104.90 is: 76,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.67 : 138,587.85 = 55,104.90 : x
  2. Step 2: Convert to fraction form
    100,424.67/138,587.85 = 55,104.90/x
  3. Step 3: Cross multiply
    100,424.67x = 138,587.85 × 55,104.90
  4. Step 4: Simplify right side
    100,424.67x = 7,636,869,615.47
  5. Step 5: Solve for x
    x = 7,636,869,615.47/100,424.67
  6. Step 6: Final answer
    x = 76,045.75

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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.