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Finding the Fourth Proportional to 172,248.12, 258,343.02 and 47,589.48

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Solution

The fourth proportional to 172,248.12, 258,343.02 and 47,589.48 is: 71,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,248.12 : 258,343.02 = 47,589.48 : x
  2. Step 2: Convert to fraction form
    172,248.12/258,343.02 = 47,589.48/x
  3. Step 3: Cross multiply
    172,248.12x = 258,343.02 × 47,589.48
  4. Step 4: Simplify right side
    172,248.12x = 12,294,409,983.43
  5. Step 5: Solve for x
    x = 12,294,409,983.43/172,248.12
  6. Step 6: Final answer
    x = 71,376.16

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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.