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Finding the Fourth Proportional to 142,319.64, 213,491.46 and 42,473.40

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Solution

The fourth proportional to 142,319.64, 213,491.46 and 42,473.40 is: 63,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,319.64 : 213,491.46 = 42,473.40 : x
  2. Step 2: Convert to fraction form
    142,319.64/213,491.46 = 42,473.40/x
  3. Step 3: Cross multiply
    142,319.64x = 213,491.46 × 42,473.40
  4. Step 4: Simplify right side
    142,319.64x = 9,067,708,177.16
  5. Step 5: Solve for x
    x = 9,067,708,177.16/142,319.64
  6. Step 6: Final answer
    x = 63,713.68

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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.