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Finding the Fourth Proportional to 123,165.21, 169,953.54 and 69,447.02

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Solution

The fourth proportional to 123,165.21, 169,953.54 and 69,447.02 is: 95,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,165.21 : 169,953.54 = 69,447.02 : x
  2. Step 2: Convert to fraction form
    123,165.21/169,953.54 = 69,447.02/x
  3. Step 3: Cross multiply
    123,165.21x = 169,953.54 × 69,447.02
  4. Step 4: Simplify right side
    123,165.21x = 11,802,766,891.45
  5. Step 5: Solve for x
    x = 11,802,766,891.45/123,165.21
  6. Step 6: Final answer
    x = 95,828.74

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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.