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Finding the Fourth Proportional to 142,574.46, 213,764.49 and 72,318.30

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Solution

The fourth proportional to 142,574.46, 213,764.49 and 72,318.30 is: 108,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.46 : 213,764.49 = 72,318.30 : x
  2. Step 2: Convert to fraction form
    142,574.46/213,764.49 = 72,318.30/x
  3. Step 3: Cross multiply
    142,574.46x = 213,764.49 × 72,318.30
  4. Step 4: Simplify right side
    142,574.46x = 15,459,084,517.17
  5. Step 5: Solve for x
    x = 15,459,084,517.17/142,574.46
  6. Step 6: Final answer
    x = 108,428.15

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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.