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Finding the Fourth Proportional to 126,671.76, 189,937.52 and 51,844.48

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Solution

The fourth proportional to 126,671.76, 189,937.52 and 51,844.48 is: 77,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,671.76 : 189,937.52 = 51,844.48 : x
  2. Step 2: Convert to fraction form
    126,671.76/189,937.52 = 51,844.48/x
  3. Step 3: Cross multiply
    126,671.76x = 189,937.52 × 51,844.48
  4. Step 4: Simplify right side
    126,671.76x = 9,847,211,956.89
  5. Step 5: Solve for x
    x = 9,847,211,956.89/126,671.76
  6. Step 6: Final answer
    x = 77,738.02

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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.