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Finding the Fourth Proportional to 48,200.74, 72,286.53 and 28,474

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Solution

The fourth proportional to 48,200.74, 72,286.53 and 28,474 is: 42,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,200.74 : 72,286.53 = 28,474 : x
  2. Step 2: Convert to fraction form
    48,200.74/72,286.53 = 28,474/x
  3. Step 3: Cross multiply
    48,200.74x = 72,286.53 × 28,474
  4. Step 4: Simplify right side
    48,200.74x = 2,058,286,655.22
  5. Step 5: Solve for x
    x = 2,058,286,655.22/48,200.74
  6. Step 6: Final answer
    x = 42,702.39

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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.