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Finding the Fourth Proportional to 142,517.70, 213,778.44 and 42,654.96

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Solution

The fourth proportional to 142,517.70, 213,778.44 and 42,654.96 is: 63,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517.70 : 213,778.44 = 42,654.96 : x
  2. Step 2: Convert to fraction form
    142,517.70/213,778.44 = 42,654.96/x
  3. Step 3: Cross multiply
    142,517.70x = 213,778.44 × 42,654.96
  4. Step 4: Simplify right side
    142,517.70x = 9,118,710,807.06
  5. Step 5: Solve for x
    x = 9,118,710,807.06/142,517.70
  6. Step 6: Final answer
    x = 63,983.01

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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.