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Finding the Fourth Proportional to 48,493.89, 72,740.84 and 13,432.64

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Solution

The fourth proportional to 48,493.89, 72,740.84 and 13,432.64 is: 20,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,493.89 : 72,740.84 = 13,432.64 : x
  2. Step 2: Convert to fraction form
    48,493.89/72,740.84 = 13,432.64/x
  3. Step 3: Cross multiply
    48,493.89x = 72,740.84 × 13,432.64
  4. Step 4: Simplify right side
    48,493.89x = 977,101,086.15
  5. Step 5: Solve for x
    x = 977,101,086.15/48,493.89
  6. Step 6: Final answer
    x = 20,148.95

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1.5x scale

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.