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Finding the Fourth Proportional to 180,818.90, 270,969.15 and 133,061.30

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Solution

The fourth proportional to 180,818.90, 270,969.15 and 133,061.30 is: 199,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,818.90 : 270,969.15 = 133,061.30 : x
  2. Step 2: Convert to fraction form
    180,818.90/270,969.15 = 133,061.30/x
  3. Step 3: Cross multiply
    180,818.90x = 270,969.15 × 133,061.30
  4. Step 4: Simplify right side
    180,818.90x = 36,055,507,358.90
  5. Step 5: Solve for x
    x = 36,055,507,358.90/180,818.90
  6. Step 6: Final answer
    x = 199,401.21

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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.