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Finding the Fourth Proportional to 48,493.15, 72,739.72 and 13,432.81

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Solution

The fourth proportional to 48,493.15, 72,739.72 and 13,432.81 is: 20,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.15 : 72,739.72 = 13,432.81 : x
  2. Step 2: Convert to fraction form
    48,493.15/72,739.72 = 13,432.81/x
  3. Step 3: Cross multiply
    48,493.15x = 72,739.72 × 13,432.81
  4. Step 4: Simplify right side
    48,493.15x = 977,098,407.35
  5. Step 5: Solve for x
    x = 977,098,407.35/48,493.15
  6. Step 6: Final answer
    x = 20,149.21

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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.