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Finding the Fourth Proportional to 123,102.33, 169,878.84 and 69,386.31

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Solution

The fourth proportional to 123,102.33, 169,878.84 and 69,386.31 is: 95,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,102.33 : 169,878.84 = 69,386.31 : x
  2. Step 2: Convert to fraction form
    123,102.33/169,878.84 = 69,386.31/x
  3. Step 3: Cross multiply
    123,102.33x = 169,878.84 × 69,386.31
  4. Step 4: Simplify right side
    123,102.33x = 11,787,265,854.68
  5. Step 5: Solve for x
    x = 11,787,265,854.68/123,102.33
  6. Step 6: Final answer
    x = 95,751.77

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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.