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Finding the Fourth Proportional to 180,387.80, 270,675.07 and 130,876.55

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Solution

The fourth proportional to 180,387.80, 270,675.07 and 130,876.55 is: 196,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,387.80 : 270,675.07 = 130,876.55 : x
  2. Step 2: Convert to fraction form
    180,387.80/270,675.07 = 130,876.55/x
  3. Step 3: Cross multiply
    180,387.80x = 270,675.07 × 130,876.55
  4. Step 4: Simplify right side
    180,387.80x = 35,425,019,332.61
  5. Step 5: Solve for x
    x = 35,425,019,332.61/180,387.80
  6. Step 6: Final answer
    x = 196,382.57

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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.