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Finding the Fourth Proportional to 218,651.82, 301,740.57 and 123,160.02

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Solution

The fourth proportional to 218,651.82, 301,740.57 and 123,160.02 is: 169,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,651.82 : 301,740.57 = 123,160.02 : x
  2. Step 2: Convert to fraction form
    218,651.82/301,740.57 = 123,160.02/x
  3. Step 3: Cross multiply
    218,651.82x = 301,740.57 × 123,160.02
  4. Step 4: Simplify right side
    218,651.82x = 37,162,374,636.01
  5. Step 5: Solve for x
    x = 37,162,374,636.01/218,651.82
  6. Step 6: Final answer
    x = 169,961.42

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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.