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Finding the Fourth Proportional to 123,493.95, 170,419.43 and 69,777.83

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Solution

The fourth proportional to 123,493.95, 170,419.43 and 69,777.83 is: 96,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,493.95 : 170,419.43 = 69,777.83 : x
  2. Step 2: Convert to fraction form
    123,493.95/170,419.43 = 69,777.83/x
  3. Step 3: Cross multiply
    123,493.95x = 170,419.43 × 69,777.83
  4. Step 4: Simplify right side
    123,493.95x = 11,891,498,615.73
  5. Step 5: Solve for x
    x = 11,891,498,615.73/123,493.95
  6. Step 6: Final answer
    x = 96,292.16

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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.