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Finding the Fourth Proportional to 48,489.60, 72,719.52 and 13,420.80

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Solution

The fourth proportional to 48,489.60, 72,719.52 and 13,420.80 is: 20,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,489.60 : 72,719.52 = 13,420.80 : x
  2. Step 2: Convert to fraction form
    48,489.60/72,719.52 = 13,420.80/x
  3. Step 3: Cross multiply
    48,489.60x = 72,719.52 × 13,420.80
  4. Step 4: Simplify right side
    48,489.60x = 975,954,134.02
  5. Step 5: Solve for x
    x = 975,954,134.02/48,489.60
  6. Step 6: Final answer
    x = 20,127.08

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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.