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Finding the Fourth Proportional to 126,432.64, 189,648.87 and 37,683.87

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Solution

The fourth proportional to 126,432.64, 189,648.87 and 37,683.87 is: 56,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432.64 : 189,648.87 = 37,683.87 : x
  2. Step 2: Convert to fraction form
    126,432.64/189,648.87 = 37,683.87/x
  3. Step 3: Cross multiply
    126,432.64x = 189,648.87 × 37,683.87
  4. Step 4: Simplify right side
    126,432.64x = 7,146,703,362.73
  5. Step 5: Solve for x
    x = 7,146,703,362.73/126,432.64
  6. Step 6: Final answer
    x = 56,525.78

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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.