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Finding the Fourth Proportional to 142,554.48, 213,690.60 and 67,542

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Solution

The fourth proportional to 142,554.48, 213,690.60 and 67,542 is: 101,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,554.48 : 213,690.60 = 67,542 : x
  2. Step 2: Convert to fraction form
    142,554.48/213,690.60 = 67,542/x
  3. Step 3: Cross multiply
    142,554.48x = 213,690.60 × 67,542
  4. Step 4: Simplify right side
    142,554.48x = 14,433,090,505.20
  5. Step 5: Solve for x
    x = 14,433,090,505.20/142,554.48
  6. Step 6: Final answer
    x = 101,246.14

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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.