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Finding the Fourth Proportional to 172,034.54, 258,082.07 and 78,549.74

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Solution

The fourth proportional to 172,034.54, 258,082.07 and 78,549.74 is: 117,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,034.54 : 258,082.07 = 78,549.74 : x
  2. Step 2: Convert to fraction form
    172,034.54/258,082.07 = 78,549.74/x
  3. Step 3: Cross multiply
    172,034.54x = 258,082.07 × 78,549.74
  4. Step 4: Simplify right side
    172,034.54x = 20,272,279,497.16
  5. Step 5: Solve for x
    x = 20,272,279,497.16/172,034.54
  6. Step 6: Final answer
    x = 117,838.43

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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.