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Finding the Fourth Proportional to 142,552.48, 213,687.60 and 67,540

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Solution

The fourth proportional to 142,552.48, 213,687.60 and 67,540 is: 101,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,552.48 : 213,687.60 = 67,540 : x
  2. Step 2: Convert to fraction form
    142,552.48/213,687.60 = 67,540/x
  3. Step 3: Cross multiply
    142,552.48x = 213,687.60 × 67,540
  4. Step 4: Simplify right side
    142,552.48x = 14,432,460,504
  5. Step 5: Solve for x
    x = 14,432,460,504/142,552.48
  6. Step 6: Final answer
    x = 101,243.14

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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.