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Finding the Fourth Proportional to 218,609.16, 301,689.81 and 123,115.56

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Solution

The fourth proportional to 218,609.16, 301,689.81 and 123,115.56 is: 169,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,609.16 : 301,689.81 = 123,115.56 : x
  2. Step 2: Convert to fraction form
    218,609.16/301,689.81 = 123,115.56/x
  3. Step 3: Cross multiply
    218,609.16x = 301,689.81 × 123,115.56
  4. Step 4: Simplify right side
    218,609.16x = 37,142,709,904.44
  5. Step 5: Solve for x
    x = 37,142,709,904.44/218,609.16
  6. Step 6: Final answer
    x = 169,904.64

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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.