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Finding the Fourth Proportional to 142,600.80, 213,829.12 and 83,454.24

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Solution

The fourth proportional to 142,600.80, 213,829.12 and 83,454.24 is: 125,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,600.80 : 213,829.12 = 83,454.24 : x
  2. Step 2: Convert to fraction form
    142,600.80/213,829.12 = 83,454.24/x
  3. Step 3: Cross multiply
    142,600.80x = 213,829.12 × 83,454.24
  4. Step 4: Simplify right side
    142,600.80x = 17,844,946,699.47
  5. Step 5: Solve for x
    x = 17,844,946,699.47/142,600.80
  6. Step 6: Final answer
    x = 125,139.18

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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.