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Finding the Fourth Proportional to 180,164, 270,243.84 and 169,203.12

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Solution

The fourth proportional to 180,164, 270,243.84 and 169,203.12 is: 253,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,164 : 270,243.84 = 169,203.12 : x
  2. Step 2: Convert to fraction form
    180,164/270,243.84 = 169,203.12/x
  3. Step 3: Cross multiply
    180,164x = 270,243.84 × 169,203.12
  4. Step 4: Simplify right side
    180,164x = 45,726,100,888.78
  5. Step 5: Solve for x
    x = 45,726,100,888.78/180,164
  6. Step 6: Final answer
    x = 253,802.65

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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.