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Finding the Fourth Proportional to 100,233, 138,321.84 and 55,521

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Solution

The fourth proportional to 100,233, 138,321.84 and 55,521 is: 76,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,233 : 138,321.84 = 55,521 : x
  2. Step 2: Convert to fraction form
    100,233/138,321.84 = 55,521/x
  3. Step 3: Cross multiply
    100,233x = 138,321.84 × 55,521
  4. Step 4: Simplify right side
    100,233x = 7,679,766,878.64
  5. Step 5: Solve for x
    x = 7,679,766,878.64/100,233
  6. Step 6: Final answer
    x = 76,619.15

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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.