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Finding the Fourth Proportional to 142,853.76, 213,649.92 and 86,538.24

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Solution

The fourth proportional to 142,853.76, 213,649.92 and 86,538.24 is: 129,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,853.76 : 213,649.92 = 86,538.24 : x
  2. Step 2: Convert to fraction form
    142,853.76/213,649.92 = 86,538.24/x
  3. Step 3: Cross multiply
    142,853.76x = 213,649.92 × 86,538.24
  4. Step 4: Simplify right side
    142,853.76x = 18,488,888,052.94
  5. Step 5: Solve for x
    x = 18,488,888,052.94/142,853.76
  6. Step 6: Final answer
    x = 129,425.28

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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.