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Finding the Fourth Proportional to 142,128.80, 213,193.20 and 83,031.20

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Solution

The fourth proportional to 142,128.80, 213,193.20 and 83,031.20 is: 124,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128.80 : 213,193.20 = 83,031.20 : x
  2. Step 2: Convert to fraction form
    142,128.80/213,193.20 = 83,031.20/x
  3. Step 3: Cross multiply
    142,128.80x = 213,193.20 × 83,031.20
  4. Step 4: Simplify right side
    142,128.80x = 17,701,687,227.84
  5. Step 5: Solve for x
    x = 17,701,687,227.84/142,128.80
  6. Step 6: Final answer
    x = 124,546.80

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1.5x scale

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.