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Finding the Fourth Proportional to 61,168, 84,412 and 35,691.88

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Solution

The fourth proportional to 61,168, 84,412 and 35,691.88 is: 49,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,168 : 84,412 = 35,691.88 : x
  2. Step 2: Convert to fraction form
    61,168/84,412 = 35,691.88/x
  3. Step 3: Cross multiply
    61,168x = 84,412 × 35,691.88
  4. Step 4: Simplify right side
    61,168x = 3,012,822,974.56
  5. Step 5: Solve for x
    x = 3,012,822,974.56/61,168
  6. Step 6: Final answer
    x = 49,254.89

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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.