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Finding the Fourth Proportional to 180,010.20, 269,723.70 and 153,766.20

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Solution

The fourth proportional to 180,010.20, 269,723.70 and 153,766.20 is: 230,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,010.20 : 269,723.70 = 153,766.20 : x
  2. Step 2: Convert to fraction form
    180,010.20/269,723.70 = 153,766.20/x
  3. Step 3: Cross multiply
    180,010.20x = 269,723.70 × 153,766.20
  4. Step 4: Simplify right side
    180,010.20x = 41,474,388,398.94
  5. Step 5: Solve for x
    x = 41,474,388,398.94/180,010.20
  6. Step 6: Final answer
    x = 230,400.21

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1.5x scale

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.