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Finding the Fourth Proportional to 172,294.61, 258,441.92 and 78,734.75

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Solution

The fourth proportional to 172,294.61, 258,441.92 and 78,734.75 is: 118,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,294.61 : 258,441.92 = 78,734.75 : x
  2. Step 2: Convert to fraction form
    172,294.61/258,441.92 = 78,734.75/x
  3. Step 3: Cross multiply
    172,294.61x = 258,441.92 × 78,734.75
  4. Step 4: Simplify right side
    172,294.61x = 20,348,359,960.72
  5. Step 5: Solve for x
    x = 20,348,359,960.72/172,294.61
  6. Step 6: Final answer
    x = 118,102.13

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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.