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Finding the Fourth Proportional to 65,909, 90,954.74 and 36,101

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Solution

The fourth proportional to 65,909, 90,954.74 and 36,101 is: 49,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909 : 90,954.74 = 36,101 : x
  2. Step 2: Convert to fraction form
    65,909/90,954.74 = 36,101/x
  3. Step 3: Cross multiply
    65,909x = 90,954.74 × 36,101
  4. Step 4: Simplify right side
    65,909x = 3,283,557,068.74
  5. Step 5: Solve for x
    x = 3,283,557,068.74/65,909
  6. Step 6: Final answer
    x = 49,819.56

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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.