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Finding the Fourth Proportional to 80,739, 111,419.82 and 45,411

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Solution

The fourth proportional to 80,739, 111,419.82 and 45,411 is: 62,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,739 : 111,419.82 = 45,411 : x
  2. Step 2: Convert to fraction form
    80,739/111,419.82 = 45,411/x
  3. Step 3: Cross multiply
    80,739x = 111,419.82 × 45,411
  4. Step 4: Simplify right side
    80,739x = 5,059,685,446.02
  5. Step 5: Solve for x
    x = 5,059,685,446.02/80,739
  6. Step 6: Final answer
    x = 62,667.18

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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.