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Finding the Fourth Proportional to 126,411.52, 189,720.96 and 64,099.84

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Solution

The fourth proportional to 126,411.52, 189,720.96 and 64,099.84 is: 96,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411.52 : 189,720.96 = 64,099.84 : x
  2. Step 2: Convert to fraction form
    126,411.52/189,720.96 = 64,099.84/x
  3. Step 3: Cross multiply
    126,411.52x = 189,720.96 × 64,099.84
  4. Step 4: Simplify right side
    126,411.52x = 12,161,083,180.65
  5. Step 5: Solve for x
    x = 12,161,083,180.65/126,411.52
  6. Step 6: Final answer
    x = 96,202.33

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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.