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Finding the Fourth Proportional to 123,201.96, 169,945.30 and 77,799.84

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Solution

The fourth proportional to 123,201.96, 169,945.30 and 77,799.84 is: 107,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.96 : 169,945.30 = 77,799.84 : x
  2. Step 2: Convert to fraction form
    123,201.96/169,945.30 = 77,799.84/x
  3. Step 3: Cross multiply
    123,201.96x = 169,945.30 × 77,799.84
  4. Step 4: Simplify right side
    123,201.96x = 13,221,717,148.75
  5. Step 5: Solve for x
    x = 13,221,717,148.75/123,201.96
  6. Step 6: Final answer
    x = 107,317.43

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1.5x scale

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.