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Finding the Fourth Proportional to 126,411.68, 189,644.90 and 37,672.34

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Solution

The fourth proportional to 126,411.68, 189,644.90 and 37,672.34 is: 56,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411.68 : 189,644.90 = 37,672.34 : x
  2. Step 2: Convert to fraction form
    126,411.68/189,644.90 = 37,672.34/x
  3. Step 3: Cross multiply
    126,411.68x = 189,644.90 × 37,672.34
  4. Step 4: Simplify right side
    126,411.68x = 7,144,366,015.48
  5. Step 5: Solve for x
    x = 7,144,366,015.48/126,411.68
  6. Step 6: Final answer
    x = 56,516.66

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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.