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Finding the Fourth Proportional to 218,634.66, 301,710.06 and 123,142.14

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Solution

The fourth proportional to 218,634.66, 301,710.06 and 123,142.14 is: 169,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,634.66 : 301,710.06 = 123,142.14 : x
  2. Step 2: Convert to fraction form
    218,634.66/301,710.06 = 123,142.14/x
  3. Step 3: Cross multiply
    218,634.66x = 301,710.06 × 123,142.14
  4. Step 4: Simplify right side
    218,634.66x = 37,153,222,447.93
  5. Step 5: Solve for x
    x = 37,153,222,447.93/218,634.66
  6. Step 6: Final answer
    x = 169,932.90

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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.