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Finding the Fourth Proportional to 129,407.76, 178,553.16 and 72,798.48

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Solution

The fourth proportional to 129,407.76, 178,553.16 and 72,798.48 is: 100,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,407.76 : 178,553.16 = 72,798.48 : x
  2. Step 2: Convert to fraction form
    129,407.76/178,553.16 = 72,798.48/x
  3. Step 3: Cross multiply
    129,407.76x = 178,553.16 × 72,798.48
  4. Step 4: Simplify right side
    129,407.76x = 12,998,398,647.20
  5. Step 5: Solve for x
    x = 12,998,398,647.20/129,407.76
  6. Step 6: Final answer
    x = 100,445.28

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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.