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Finding the Fourth Proportional to 123,200.92, 169,978.46 and 75,404.44

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Solution

The fourth proportional to 123,200.92, 169,978.46 and 75,404.44 is: 104,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.92 : 169,978.46 = 75,404.44 : x
  2. Step 2: Convert to fraction form
    123,200.92/169,978.46 = 75,404.44/x
  3. Step 3: Cross multiply
    123,200.92x = 169,978.46 × 75,404.44
  4. Step 4: Simplify right side
    123,200.92x = 12,817,130,588.36
  5. Step 5: Solve for x
    x = 12,817,130,588.36/123,200.92
  6. Step 6: Final answer
    x = 104,034.37

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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.