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Finding the Fourth Proportional to 159,142.80, 238,714.20 and 74,850.56

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Solution

The fourth proportional to 159,142.80, 238,714.20 and 74,850.56 is: 112,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,142.80 : 238,714.20 = 74,850.56 : x
  2. Step 2: Convert to fraction form
    159,142.80/238,714.20 = 74,850.56/x
  3. Step 3: Cross multiply
    159,142.80x = 238,714.20 × 74,850.56
  4. Step 4: Simplify right side
    159,142.80x = 17,867,891,549.95
  5. Step 5: Solve for x
    x = 17,867,891,549.95/159,142.80
  6. Step 6: Final answer
    x = 112,275.84

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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.