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Finding the Fourth Proportional to 229,177.95, 343,785.31 and 87,091.30

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Solution

The fourth proportional to 229,177.95, 343,785.31 and 87,091.30 is: 130,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,177.95 : 343,785.31 = 87,091.30 : x
  2. Step 2: Convert to fraction form
    229,177.95/343,785.31 = 87,091.30/x
  3. Step 3: Cross multiply
    229,177.95x = 343,785.31 × 87,091.30
  4. Step 4: Simplify right side
    229,177.95x = 29,940,707,414.42
  5. Step 5: Solve for x
    x = 29,940,707,414.42/229,177.95
  6. Step 6: Final answer
    x = 130,643.93

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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.