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Finding the Fourth Proportional to 48,472.72, 72,695.64 and 13,409.68

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Solution

The fourth proportional to 48,472.72, 72,695.64 and 13,409.68 is: 20,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472.72 : 72,695.64 = 13,409.68 : x
  2. Step 2: Convert to fraction form
    48,472.72/72,695.64 = 13,409.68/x
  3. Step 3: Cross multiply
    48,472.72x = 72,695.64 × 13,409.68
  4. Step 4: Simplify right side
    48,472.72x = 974,825,269.80
  5. Step 5: Solve for x
    x = 974,825,269.80/48,472.72
  6. Step 6: Final answer
    x = 20,110.80

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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.