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Finding the Fourth Proportional to 123,111.90, 169,894.44 and 66,523.26

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Solution

The fourth proportional to 123,111.90, 169,894.44 and 66,523.26 is: 91,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,111.90 : 169,894.44 = 66,523.26 : x
  2. Step 2: Convert to fraction form
    123,111.90/169,894.44 = 66,523.26/x
  3. Step 3: Cross multiply
    123,111.90x = 169,894.44 × 66,523.26
  4. Step 4: Simplify right side
    123,111.90x = 11,301,932,004.67
  5. Step 5: Solve for x
    x = 11,301,932,004.67/123,111.90
  6. Step 6: Final answer
    x = 91,802.11

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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.