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Finding the Fourth Proportional to 65,138.52, 89,793.18 and 50,966.76

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Solution

The fourth proportional to 65,138.52, 89,793.18 and 50,966.76 is: 70,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.52 : 89,793.18 = 50,966.76 : x
  2. Step 2: Convert to fraction form
    65,138.52/89,793.18 = 50,966.76/x
  3. Step 3: Cross multiply
    65,138.52x = 89,793.18 × 50,966.76
  4. Step 4: Simplify right side
    65,138.52x = 4,576,467,454.70
  5. Step 5: Solve for x
    x = 4,576,467,454.70/65,138.52
  6. Step 6: Final answer
    x = 70,257.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.