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Finding the Fourth Proportional to 123,074, 169,842.12 and 66,485.40

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Solution

The fourth proportional to 123,074, 169,842.12 and 66,485.40 is: 91,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,074 : 169,842.12 = 66,485.40 : x
  2. Step 2: Convert to fraction form
    123,074/169,842.12 = 66,485.40/x
  3. Step 3: Cross multiply
    123,074x = 169,842.12 × 66,485.40
  4. Step 4: Simplify right side
    123,074x = 11,292,021,285.05
  5. Step 5: Solve for x
    x = 11,292,021,285.05/123,074
  6. Step 6: Final answer
    x = 91,749.85

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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.