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Finding the Fourth Proportional to 126,147, 189,220.50 and 51,307.86

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Solution

The fourth proportional to 126,147, 189,220.50 and 51,307.86 is: 76,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,147 : 189,220.50 = 51,307.86 : x
  2. Step 2: Convert to fraction form
    126,147/189,220.50 = 51,307.86/x
  3. Step 3: Cross multiply
    126,147x = 189,220.50 × 51,307.86
  4. Step 4: Simplify right side
    126,147x = 9,708,498,923.13
  5. Step 5: Solve for x
    x = 9,708,498,923.13/126,147
  6. Step 6: Final answer
    x = 76,961.79

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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.