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Finding the Fourth Proportional to 218,641.32, 301,723.56 and 123,178.68

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Solution

The fourth proportional to 218,641.32, 301,723.56 and 123,178.68 is: 169,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,641.32 : 301,723.56 = 123,178.68 : x
  2. Step 2: Convert to fraction form
    218,641.32/301,723.56 = 123,178.68/x
  3. Step 3: Cross multiply
    218,641.32x = 301,723.56 × 123,178.68
  4. Step 4: Simplify right side
    218,641.32x = 37,165,909,845.70
  5. Step 5: Solve for x
    x = 37,165,909,845.70/218,641.32
  6. Step 6: Final answer
    x = 169,985.75

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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.