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Finding the Fourth Proportional to 180,644.15, 270,996.66 and 66,798.65

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Solution

The fourth proportional to 180,644.15, 270,996.66 and 66,798.65 is: 100,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644.15 : 270,996.66 = 66,798.65 : x
  2. Step 2: Convert to fraction form
    180,644.15/270,996.66 = 66,798.65/x
  3. Step 3: Cross multiply
    180,644.15x = 270,996.66 × 66,798.65
  4. Step 4: Simplify right side
    180,644.15x = 18,102,209,687.53
  5. Step 5: Solve for x
    x = 18,102,209,687.53/180,644.15
  6. Step 6: Final answer
    x = 100,209.22

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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.