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Finding the Fourth Proportional to 123,163.26, 169,967.20 and 72,163.78

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Solution

The fourth proportional to 123,163.26, 169,967.20 and 72,163.78 is: 99,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163.26 : 169,967.20 = 72,163.78 : x
  2. Step 2: Convert to fraction form
    123,163.26/169,967.20 = 72,163.78/x
  3. Step 3: Cross multiply
    123,163.26x = 169,967.20 × 72,163.78
  4. Step 4: Simplify right side
    123,163.26x = 12,265,475,628.02
  5. Step 5: Solve for x
    x = 12,265,475,628.02/123,163.26
  6. Step 6: Final answer
    x = 99,587.13

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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.