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Finding the Fourth Proportional to 142,390.60, 213,440.10 and 83,195.80

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Solution

The fourth proportional to 142,390.60, 213,440.10 and 83,195.80 is: 124,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,390.60 : 213,440.10 = 83,195.80 : x
  2. Step 2: Convert to fraction form
    142,390.60/213,440.10 = 83,195.80/x
  3. Step 3: Cross multiply
    142,390.60x = 213,440.10 × 83,195.80
  4. Step 4: Simplify right side
    142,390.60x = 17,757,319,871.58
  5. Step 5: Solve for x
    x = 17,757,319,871.58/142,390.60
  6. Step 6: Final answer
    x = 124,708.51

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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.