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Finding the Fourth Proportional to 159,959.31, 240,084.38 and 85,142.04

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Solution

The fourth proportional to 159,959.31, 240,084.38 and 85,142.04 is: 127,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,959.31 : 240,084.38 = 85,142.04 : x
  2. Step 2: Convert to fraction form
    159,959.31/240,084.38 = 85,142.04/x
  3. Step 3: Cross multiply
    159,959.31x = 240,084.38 × 85,142.04
  4. Step 4: Simplify right side
    159,959.31x = 20,441,273,459.63
  5. Step 5: Solve for x
    x = 20,441,273,459.63/159,959.31
  6. Step 6: Final answer
    x = 127,790.46

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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.