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Finding the Fourth Proportional to 142,358.30, 213,428.10 and 80,028.80

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Solution

The fourth proportional to 142,358.30, 213,428.10 and 80,028.80 is: 119,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,358.30 : 213,428.10 = 80,028.80 : x
  2. Step 2: Convert to fraction form
    142,358.30/213,428.10 = 80,028.80/x
  3. Step 3: Cross multiply
    142,358.30x = 213,428.10 × 80,028.80
  4. Step 4: Simplify right side
    142,358.30x = 17,080,394,729.28
  5. Step 5: Solve for x
    x = 17,080,394,729.28/142,358.30
  6. Step 6: Final answer
    x = 119,981.73

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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.