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Finding the Fourth Proportional to 123,820.80, 185,729.04 and 30,327.36

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Solution

The fourth proportional to 123,820.80, 185,729.04 and 30,327.36 is: 45,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,820.80 : 185,729.04 = 30,327.36 : x
  2. Step 2: Convert to fraction form
    123,820.80/185,729.04 = 30,327.36/x
  3. Step 3: Cross multiply
    123,820.80x = 185,729.04 × 30,327.36
  4. Step 4: Simplify right side
    123,820.80x = 5,632,671,458.53
  5. Step 5: Solve for x
    x = 5,632,671,458.53/123,820.80
  6. Step 6: Final answer
    x = 45,490.51

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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.