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Finding the Fourth Proportional to 123,438.80, 184,690.20 and 81,966.80

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Solution

The fourth proportional to 123,438.80, 184,690.20 and 81,966.80 is: 122,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438.80 : 184,690.20 = 81,966.80 : x
  2. Step 2: Convert to fraction form
    123,438.80/184,690.20 = 81,966.80/x
  3. Step 3: Cross multiply
    123,438.80x = 184,690.20 × 81,966.80
  4. Step 4: Simplify right side
    123,438.80x = 15,138,464,685.36
  5. Step 5: Solve for x
    x = 15,138,464,685.36/123,438.80
  6. Step 6: Final answer
    x = 122,639.43

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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.