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Finding the Fourth Proportional to 180,473.45, 270,657.61 and 54,108.65

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Solution

The fourth proportional to 180,473.45, 270,657.61 and 54,108.65 is: 81,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.45 : 270,657.61 = 54,108.65 : x
  2. Step 2: Convert to fraction form
    180,473.45/270,657.61 = 54,108.65/x
  3. Step 3: Cross multiply
    180,473.45x = 270,657.61 × 54,108.65
  4. Step 4: Simplify right side
    180,473.45x = 14,644,917,889.33
  5. Step 5: Solve for x
    x = 14,644,917,889.33/180,473.45
  6. Step 6: Final answer
    x = 81,147.22

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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.