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Finding the Fourth Proportional to 48,405.52, 72,543.68 and 25,870

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Solution

The fourth proportional to 48,405.52, 72,543.68 and 25,870 is: 38,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,405.52 : 72,543.68 = 25,870 : x
  2. Step 2: Convert to fraction form
    48,405.52/72,543.68 = 25,870/x
  3. Step 3: Cross multiply
    48,405.52x = 72,543.68 × 25,870
  4. Step 4: Simplify right side
    48,405.52x = 1,876,705,001.60
  5. Step 5: Solve for x
    x = 1,876,705,001.60/48,405.52
  6. Step 6: Final answer
    x = 38,770.47

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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.