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Finding the Fourth Proportional to 135,556, 187,069.44 and 75,940

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Solution

The fourth proportional to 135,556, 187,069.44 and 75,940 is: 104,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,556 : 187,069.44 = 75,940 : x
  2. Step 2: Convert to fraction form
    135,556/187,069.44 = 75,940/x
  3. Step 3: Cross multiply
    135,556x = 187,069.44 × 75,940
  4. Step 4: Simplify right side
    135,556x = 14,206,053,273.60
  5. Step 5: Solve for x
    x = 14,206,053,273.60/135,556
  6. Step 6: Final answer
    x = 104,798.41

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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.