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Finding the Fourth Proportional to 123,627.80, 185,243.70 and 120,347.48

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Solution

The fourth proportional to 123,627.80, 185,243.70 and 120,347.48 is: 180,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,627.80 : 185,243.70 = 120,347.48 : x
  2. Step 2: Convert to fraction form
    123,627.80/185,243.70 = 120,347.48/x
  3. Step 3: Cross multiply
    123,627.80x = 185,243.70 × 120,347.48
  4. Step 4: Simplify right side
    123,627.80x = 22,293,612,480.88
  5. Step 5: Solve for x
    x = 22,293,612,480.88/123,627.80
  6. Step 6: Final answer
    x = 180,328.47

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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.