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Finding the Fourth Proportional to 48,264.80, 72,393.60 and 20,177.60

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Solution

The fourth proportional to 48,264.80, 72,393.60 and 20,177.60 is: 30,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264.80 : 72,393.60 = 20,177.60 : x
  2. Step 2: Convert to fraction form
    48,264.80/72,393.60 = 20,177.60/x
  3. Step 3: Cross multiply
    48,264.80x = 72,393.60 × 20,177.60
  4. Step 4: Simplify right side
    48,264.80x = 1,460,729,103.36
  5. Step 5: Solve for x
    x = 1,460,729,103.36/48,264.80
  6. Step 6: Final answer
    x = 30,264.89

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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.