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Finding the Fourth Proportional to 124,643.80, 186,965.70 and 74,780.20

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Solution

The fourth proportional to 124,643.80, 186,965.70 and 74,780.20 is: 112,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,643.80 : 186,965.70 = 74,780.20 : x
  2. Step 2: Convert to fraction form
    124,643.80/186,965.70 = 74,780.20/x
  3. Step 3: Cross multiply
    124,643.80x = 186,965.70 × 74,780.20
  4. Step 4: Simplify right side
    124,643.80x = 13,981,332,439.14
  5. Step 5: Solve for x
    x = 13,981,332,439.14/124,643.80
  6. Step 6: Final answer
    x = 112,170.30

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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.