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Finding the Fourth Proportional to 258,232.64, 387,359.92 and 80,742.96

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Solution

The fourth proportional to 258,232.64, 387,359.92 and 80,742.96 is: 121,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,232.64 : 387,359.92 = 80,742.96 : x
  2. Step 2: Convert to fraction form
    258,232.64/387,359.92 = 80,742.96/x
  3. Step 3: Cross multiply
    258,232.64x = 387,359.92 × 80,742.96
  4. Step 4: Simplify right side
    258,232.64x = 31,276,586,526.16
  5. Step 5: Solve for x
    x = 31,276,586,526.16/258,232.64
  6. Step 6: Final answer
    x = 121,117.87

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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.