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Finding the Fourth Proportional to 125,706.72, 188,905.68 and 117,487.20

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Solution

The fourth proportional to 125,706.72, 188,905.68 and 117,487.20 is: 176,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,706.72 : 188,905.68 = 117,487.20 : x
  2. Step 2: Convert to fraction form
    125,706.72/188,905.68 = 117,487.20/x
  3. Step 3: Cross multiply
    125,706.72x = 188,905.68 × 117,487.20
  4. Step 4: Simplify right side
    125,706.72x = 22,193,999,407.30
  5. Step 5: Solve for x
    x = 22,193,999,407.30/125,706.72
  6. Step 6: Final answer
    x = 176,553.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.