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Finding the Fourth Proportional to 123,713.68, 170,722.75 and 75,298.06

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Solution

The fourth proportional to 123,713.68, 170,722.75 and 75,298.06 is: 103,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,713.68 : 170,722.75 = 75,298.06 : x
  2. Step 2: Convert to fraction form
    123,713.68/170,722.75 = 75,298.06/x
  3. Step 3: Cross multiply
    123,713.68x = 170,722.75 × 75,298.06
  4. Step 4: Simplify right side
    123,713.68x = 12,855,091,872.87
  5. Step 5: Solve for x
    x = 12,855,091,872.87/123,713.68
  6. Step 6: Final answer
    x = 103,910.03

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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.