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Finding the Fourth Proportional to 126,402.73, 189,645.09 and 37,657

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Solution

The fourth proportional to 126,402.73, 189,645.09 and 37,657 is: 56,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,402.73 : 189,645.09 = 37,657 : x
  2. Step 2: Convert to fraction form
    126,402.73/189,645.09 = 37,657/x
  3. Step 3: Cross multiply
    126,402.73x = 189,645.09 × 37,657
  4. Step 4: Simplify right side
    126,402.73x = 7,141,465,154.13
  5. Step 5: Solve for x
    x = 7,141,465,154.13/126,402.73
  6. Step 6: Final answer
    x = 56,497.71

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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.