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Finding the Fourth Proportional to 172,244.61, 258,371.78 and 47,585.61

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Solution

The fourth proportional to 172,244.61, 258,371.78 and 47,585.61 is: 71,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,244.61 : 258,371.78 = 47,585.61 : x
  2. Step 2: Convert to fraction form
    172,244.61/258,371.78 = 47,585.61/x
  3. Step 3: Cross multiply
    172,244.61x = 258,371.78 × 47,585.61
  4. Step 4: Simplify right side
    172,244.61x = 12,294,778,520.16
  5. Step 5: Solve for x
    x = 12,294,778,520.16/172,244.61
  6. Step 6: Final answer
    x = 71,379.76

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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.