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Finding the Fourth Proportional to 123,144.02, 169,825.37 and 77,743.11

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Solution

The fourth proportional to 123,144.02, 169,825.37 and 77,743.11 is: 107,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,144.02 : 169,825.37 = 77,743.11 : x
  2. Step 2: Convert to fraction form
    123,144.02/169,825.37 = 77,743.11/x
  3. Step 3: Cross multiply
    123,144.02x = 169,825.37 × 77,743.11
  4. Step 4: Simplify right side
    123,144.02x = 13,202,752,420.70
  5. Step 5: Solve for x
    x = 13,202,752,420.70/123,144.02
  6. Step 6: Final answer
    x = 107,213.91

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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.