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Finding the Fourth Proportional to 178,707.36, 267,652.72 and 85,278.72

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Solution

The fourth proportional to 178,707.36, 267,652.72 and 85,278.72 is: 127,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,707.36 : 267,652.72 = 85,278.72 : x
  2. Step 2: Convert to fraction form
    178,707.36/267,652.72 = 85,278.72/x
  3. Step 3: Cross multiply
    178,707.36x = 267,652.72 × 85,278.72
  4. Step 4: Simplify right side
    178,707.36x = 22,825,081,366.12
  5. Step 5: Solve for x
    x = 22,825,081,366.12/178,707.36
  6. Step 6: Final answer
    x = 127,723.23

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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.