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Finding the Fourth Proportional to 48,487.59, 72,731.40 and 13,427.24

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Solution

The fourth proportional to 48,487.59, 72,731.40 and 13,427.24 is: 20,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,487.59 : 72,731.40 = 13,427.24 : x
  2. Step 2: Convert to fraction form
    48,487.59/72,731.40 = 13,427.24/x
  3. Step 3: Cross multiply
    48,487.59x = 72,731.40 × 13,427.24
  4. Step 4: Simplify right side
    48,487.59x = 976,582,145.16
  5. Step 5: Solve for x
    x = 976,582,145.16/48,487.59
  6. Step 6: Final answer
    x = 20,140.87

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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.