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Finding the Fourth Proportional to 230,275.52, 345,325.92 and 90,016.64

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Solution

The fourth proportional to 230,275.52, 345,325.92 and 90,016.64 is: 134,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,275.52 : 345,325.92 = 90,016.64 : x
  2. Step 2: Convert to fraction form
    230,275.52/345,325.92 = 90,016.64/x
  3. Step 3: Cross multiply
    230,275.52x = 345,325.92 × 90,016.64
  4. Step 4: Simplify right side
    230,275.52x = 31,085,079,023.31
  5. Step 5: Solve for x
    x = 31,085,079,023.31/230,275.52
  6. Step 6: Final answer
    x = 134,990.81

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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.