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Finding the Fourth Proportional to 123,164.76, 169,969.26 and 72,165.30

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Solution

The fourth proportional to 123,164.76, 169,969.26 and 72,165.30 is: 99,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,164.76 : 169,969.26 = 72,165.30 : x
  2. Step 2: Convert to fraction form
    123,164.76/169,969.26 = 72,165.30/x
  3. Step 3: Cross multiply
    123,164.76x = 169,969.26 × 72,165.30
  4. Step 4: Simplify right side
    123,164.76x = 12,265,882,638.68
  5. Step 5: Solve for x
    x = 12,265,882,638.68/123,164.76
  6. Step 6: Final answer
    x = 99,589.22

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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.