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Finding the Fourth Proportional to 48,657.40, 72,977.76 and 13,588.96

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Solution

The fourth proportional to 48,657.40, 72,977.76 and 13,588.96 is: 20,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.40 : 72,977.76 = 13,588.96 : x
  2. Step 2: Convert to fraction form
    48,657.40/72,977.76 = 13,588.96/x
  3. Step 3: Cross multiply
    48,657.40x = 72,977.76 × 13,588.96
  4. Step 4: Simplify right side
    48,657.40x = 991,691,861.53
  5. Step 5: Solve for x
    x = 991,691,861.53/48,657.40
  6. Step 6: Final answer
    x = 20,381.11

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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.