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Finding the Fourth Proportional to 48,489.42, 72,725.88 and 13,420.86

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Solution

The fourth proportional to 48,489.42, 72,725.88 and 13,420.86 is: 20,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,489.42 : 72,725.88 = 13,420.86 : x
  2. Step 2: Convert to fraction form
    48,489.42/72,725.88 = 13,420.86/x
  3. Step 3: Cross multiply
    48,489.42x = 72,725.88 × 13,420.86
  4. Step 4: Simplify right side
    48,489.42x = 976,043,853.86
  5. Step 5: Solve for x
    x = 976,043,853.86/48,489.42
  6. Step 6: Final answer
    x = 20,129.01

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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.