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Finding the Fourth Proportional to 126,391.96, 189,311.46 and 77,040.28

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Solution

The fourth proportional to 126,391.96, 189,311.46 and 77,040.28 is: 115,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,391.96 : 189,311.46 = 77,040.28 : x
  2. Step 2: Convert to fraction form
    126,391.96/189,311.46 = 77,040.28/x
  3. Step 3: Cross multiply
    126,391.96x = 189,311.46 × 77,040.28
  4. Step 4: Simplify right side
    126,391.96x = 14,584,607,885.61
  5. Step 5: Solve for x
    x = 14,584,607,885.61/126,391.96
  6. Step 6: Final answer
    x = 115,391.90

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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.