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Finding the Fourth Proportional to 123,153.92, 169,913.76 and 75,357.44

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Solution

The fourth proportional to 123,153.92, 169,913.76 and 75,357.44 is: 103,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153.92 : 169,913.76 = 75,357.44 : x
  2. Step 2: Convert to fraction form
    123,153.92/169,913.76 = 75,357.44/x
  3. Step 3: Cross multiply
    123,153.92x = 169,913.76 × 75,357.44
  4. Step 4: Simplify right side
    123,153.92x = 12,804,265,974.37
  5. Step 5: Solve for x
    x = 12,804,265,974.37/123,153.92
  6. Step 6: Final answer
    x = 103,969.62

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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.