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Finding the Fourth Proportional to 126,340, 189,510.72 and 52,468

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Solution

The fourth proportional to 126,340, 189,510.72 and 52,468 is: 78,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,340 : 189,510.72 = 52,468 : x
  2. Step 2: Convert to fraction form
    126,340/189,510.72 = 52,468/x
  3. Step 3: Cross multiply
    126,340x = 189,510.72 × 52,468
  4. Step 4: Simplify right side
    126,340x = 9,943,248,456.96
  5. Step 5: Solve for x
    x = 9,943,248,456.96/126,340
  6. Step 6: Final answer
    x = 78,702.30

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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.