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Finding the Fourth Proportional to 123,494.16, 170,428.56 and 69,781.44

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Solution

The fourth proportional to 123,494.16, 170,428.56 and 69,781.44 is: 96,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,494.16 : 170,428.56 = 69,781.44 : x
  2. Step 2: Convert to fraction form
    123,494.16/170,428.56 = 69,781.44/x
  3. Step 3: Cross multiply
    123,494.16x = 170,428.56 × 69,781.44
  4. Step 4: Simplify right side
    123,494.16x = 11,892,750,333.93
  5. Step 5: Solve for x
    x = 11,892,750,333.93/123,494.16
  6. Step 6: Final answer
    x = 96,302.13

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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.