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Finding the Fourth Proportional to 142,305.90, 213,469.65 and 42,458.28

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Solution

The fourth proportional to 142,305.90, 213,469.65 and 42,458.28 is: 63,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,305.90 : 213,469.65 = 42,458.28 : x
  2. Step 2: Convert to fraction form
    142,305.90/213,469.65 = 42,458.28/x
  3. Step 3: Cross multiply
    142,305.90x = 213,469.65 × 42,458.28
  4. Step 4: Simplify right side
    142,305.90x = 9,063,554,171.20
  5. Step 5: Solve for x
    x = 9,063,554,171.20/142,305.90
  6. Step 6: Final answer
    x = 63,690.64

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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.