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Finding the Fourth Proportional to 218,419.26, 301,428.28 and 122,932.14

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Solution

The fourth proportional to 218,419.26, 301,428.28 and 122,932.14 is: 169,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,419.26 : 301,428.28 = 122,932.14 : x
  2. Step 2: Convert to fraction form
    218,419.26/301,428.28 = 122,932.14/x
  3. Step 3: Cross multiply
    218,419.26x = 301,428.28 × 122,932.14
  4. Step 4: Simplify right side
    218,419.26x = 37,055,223,516.92
  5. Step 5: Solve for x
    x = 37,055,223,516.92/218,419.26
  6. Step 6: Final answer
    x = 169,651.81

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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.