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Finding the Fourth Proportional to 138,916.40, 208,294.14 and 122,309.78

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Solution

The fourth proportional to 138,916.40, 208,294.14 and 122,309.78 is: 183,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,916.40 : 208,294.14 = 122,309.78 : x
  2. Step 2: Convert to fraction form
    138,916.40/208,294.14 = 122,309.78/x
  3. Step 3: Cross multiply
    138,916.40x = 208,294.14 × 122,309.78
  4. Step 4: Simplify right side
    138,916.40x = 25,476,410,438.69
  5. Step 5: Solve for x
    x = 25,476,410,438.69/138,916.40
  6. Step 6: Final answer
    x = 183,393.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.