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Finding the Fourth Proportional to 218,610.59, 327,866.66 and 142,685.24

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Solution

The fourth proportional to 218,610.59, 327,866.66 and 142,685.24 is: 213,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,610.59 : 327,866.66 = 142,685.24 : x
  2. Step 2: Convert to fraction form
    218,610.59/327,866.66 = 142,685.24/x
  3. Step 3: Cross multiply
    218,610.59x = 327,866.66 × 142,685.24
  4. Step 4: Simplify right side
    218,610.59x = 46,781,733,070.10
  5. Step 5: Solve for x
    x = 46,781,733,070.10/218,610.59
  6. Step 6: Final answer
    x = 213,995.73

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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.