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Finding the Fourth Proportional to 123,722.31, 170,876.67 and 83,366.01

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Solution

The fourth proportional to 123,722.31, 170,876.67 and 83,366.01 is: 115,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722.31 : 170,876.67 = 83,366.01 : x
  2. Step 2: Convert to fraction form
    123,722.31/170,876.67 = 83,366.01/x
  3. Step 3: Cross multiply
    123,722.31x = 170,876.67 × 83,366.01
  4. Step 4: Simplify right side
    123,722.31x = 14,245,306,179.99
  5. Step 5: Solve for x
    x = 14,245,306,179.99/123,722.31
  6. Step 6: Final answer
    x = 115,139.35

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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.