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Finding the Fourth Proportional to 142,073.13, 212,996.53 and 82,033.52

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Solution

The fourth proportional to 142,073.13, 212,996.53 and 82,033.52 is: 122,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,073.13 : 212,996.53 = 82,033.52 : x
  2. Step 2: Convert to fraction form
    142,073.13/212,996.53 = 82,033.52/x
  3. Step 3: Cross multiply
    142,073.13x = 212,996.53 × 82,033.52
  4. Step 4: Simplify right side
    142,073.13x = 17,472,855,619.90
  5. Step 5: Solve for x
    x = 17,472,855,619.90/142,073.13
  6. Step 6: Final answer
    x = 122,984.94

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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.