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Finding the Fourth Proportional to 123,712.68, 170,721.37 and 75,297.06

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Solution

The fourth proportional to 123,712.68, 170,721.37 and 75,297.06 is: 103,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,712.68 : 170,721.37 = 75,297.06 : x
  2. Step 2: Convert to fraction form
    123,712.68/170,721.37 = 75,297.06/x
  3. Step 3: Cross multiply
    123,712.68x = 170,721.37 × 75,297.06
  4. Step 4: Simplify right side
    123,712.68x = 12,854,817,334.29
  5. Step 5: Solve for x
    x = 12,854,817,334.29/123,712.68
  6. Step 6: Final answer
    x = 103,908.64

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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.