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Finding the Fourth Proportional to 100,234, 138,323.22 and 55,522

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Solution

The fourth proportional to 100,234, 138,323.22 and 55,522 is: 76,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234 : 138,323.22 = 55,522 : x
  2. Step 2: Convert to fraction form
    100,234/138,323.22 = 55,522/x
  3. Step 3: Cross multiply
    100,234x = 138,323.22 × 55,522
  4. Step 4: Simplify right side
    100,234x = 7,679,981,820.84
  5. Step 5: Solve for x
    x = 7,679,981,820.84/100,234
  6. Step 6: Final answer
    x = 76,620.53

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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.