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Finding the Fourth Proportional to 142,320.52, 213,473.49 and 42,481.54

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Solution

The fourth proportional to 142,320.52, 213,473.49 and 42,481.54 is: 63,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,320.52 : 213,473.49 = 42,481.54 : x
  2. Step 2: Convert to fraction form
    142,320.52/213,473.49 = 42,481.54/x
  3. Step 3: Cross multiply
    142,320.52x = 213,473.49 × 42,481.54
  4. Step 4: Simplify right side
    142,320.52x = 9,068,682,950.87
  5. Step 5: Solve for x
    x = 9,068,682,950.87/142,320.52
  6. Step 6: Final answer
    x = 63,720.14

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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.