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Finding the Fourth Proportional to 231,510.92, 347,374.44 and 81,864.56

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Solution

The fourth proportional to 231,510.92, 347,374.44 and 81,864.56 is: 122,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,510.92 : 347,374.44 = 81,864.56 : x
  2. Step 2: Convert to fraction form
    231,510.92/347,374.44 = 81,864.56/x
  3. Step 3: Cross multiply
    231,510.92x = 347,374.44 × 81,864.56
  4. Step 4: Simplify right side
    231,510.92x = 28,437,655,685.85
  5. Step 5: Solve for x
    x = 28,437,655,685.85/231,510.92
  6. Step 6: Final answer
    x = 122,835.05

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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.