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Finding the Fourth Proportional to 188,572.32, 282,753.72 and 87,259.68

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Solution

The fourth proportional to 188,572.32, 282,753.72 and 87,259.68 is: 130,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,572.32 : 282,753.72 = 87,259.68 : x
  2. Step 2: Convert to fraction form
    188,572.32/282,753.72 = 87,259.68/x
  3. Step 3: Cross multiply
    188,572.32x = 282,753.72 × 87,259.68
  4. Step 4: Simplify right side
    188,572.32x = 24,672,999,126.01
  5. Step 5: Solve for x
    x = 24,672,999,126.01/188,572.32
  6. Step 6: Final answer
    x = 130,841.04

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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.