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Finding the Fourth Proportional to 123,111.84, 169,894.26 and 66,523.08

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Solution

The fourth proportional to 123,111.84, 169,894.26 and 66,523.08 is: 91,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,111.84 : 169,894.26 = 66,523.08 : x
  2. Step 2: Convert to fraction form
    123,111.84/169,894.26 = 66,523.08/x
  3. Step 3: Cross multiply
    123,111.84x = 169,894.26 × 66,523.08
  4. Step 4: Simplify right side
    123,111.84x = 11,301,889,449.52
  5. Step 5: Solve for x
    x = 11,301,889,449.52/123,111.84
  6. Step 6: Final answer
    x = 91,801.81

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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.