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Finding the Fourth Proportional to 48,657.60, 72,979.20 and 13,600.80

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Solution

The fourth proportional to 48,657.60, 72,979.20 and 13,600.80 is: 20,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,657.60 : 72,979.20 = 13,600.80 : x
  2. Step 2: Convert to fraction form
    48,657.60/72,979.20 = 13,600.80/x
  3. Step 3: Cross multiply
    48,657.60x = 72,979.20 × 13,600.80
  4. Step 4: Simplify right side
    48,657.60x = 992,575,503.36
  5. Step 5: Solve for x
    x = 992,575,503.36/48,657.60
  6. Step 6: Final answer
    x = 20,399.19

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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.