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Finding the Fourth Proportional to 126,640.68, 189,890.80 and 51,813.32

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Solution

The fourth proportional to 126,640.68, 189,890.80 and 51,813.32 is: 77,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,640.68 : 189,890.80 = 51,813.32 : x
  2. Step 2: Convert to fraction form
    126,640.68/189,890.80 = 51,813.32/x
  3. Step 3: Cross multiply
    126,640.68x = 189,890.80 × 51,813.32
  4. Step 4: Simplify right side
    126,640.68x = 9,838,872,785.46
  5. Step 5: Solve for x
    x = 9,838,872,785.46/126,640.68
  6. Step 6: Final answer
    x = 77,691.25

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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.