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Finding the Fourth Proportional to 124,853.52, 172,302 and 71,140.80

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Solution

The fourth proportional to 124,853.52, 172,302 and 71,140.80 is: 98,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,853.52 : 172,302 = 71,140.80 : x
  2. Step 2: Convert to fraction form
    124,853.52/172,302 = 71,140.80/x
  3. Step 3: Cross multiply
    124,853.52x = 172,302 × 71,140.80
  4. Step 4: Simplify right side
    124,853.52x = 12,257,702,121.60
  5. Step 5: Solve for x
    x = 12,257,702,121.60/124,853.52
  6. Step 6: Final answer
    x = 98,176.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.