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Finding the Fourth Proportional to 123,729.20, 185,512.80 and 48,804.20

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Solution

The fourth proportional to 123,729.20, 185,512.80 and 48,804.20 is: 73,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,729.20 : 185,512.80 = 48,804.20 : x
  2. Step 2: Convert to fraction form
    123,729.20/185,512.80 = 48,804.20/x
  3. Step 3: Cross multiply
    123,729.20x = 185,512.80 × 48,804.20
  4. Step 4: Simplify right side
    123,729.20x = 9,053,803,793.76
  5. Step 5: Solve for x
    x = 9,053,803,793.76/123,729.20
  6. Step 6: Final answer
    x = 73,174.35

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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.