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Finding the Fourth Proportional to 172,291.86, 258,437.79 and 78,732

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Solution

The fourth proportional to 172,291.86, 258,437.79 and 78,732 is: 118,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,291.86 : 258,437.79 = 78,732 : x
  2. Step 2: Convert to fraction form
    172,291.86/258,437.79 = 78,732/x
  3. Step 3: Cross multiply
    172,291.86x = 258,437.79 × 78,732
  4. Step 4: Simplify right side
    172,291.86x = 20,347,324,082.28
  5. Step 5: Solve for x
    x = 20,347,324,082.28/172,291.86
  6. Step 6: Final answer
    x = 118,098

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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.