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Finding the Fourth Proportional to 218,505.62, 301,543.38 and 123,015.72

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Solution

The fourth proportional to 218,505.62, 301,543.38 and 123,015.72 is: 169,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,505.62 : 301,543.38 = 123,015.72 : x
  2. Step 2: Convert to fraction form
    218,505.62/301,543.38 = 123,015.72/x
  3. Step 3: Cross multiply
    218,505.62x = 301,543.38 × 123,015.72
  4. Step 4: Simplify right side
    218,505.62x = 37,094,576,001.93
  5. Step 5: Solve for x
    x = 37,094,576,001.93/218,505.62
  6. Step 6: Final answer
    x = 169,764.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.