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Finding the Fourth Proportional to 101,684, 140,323.92 and 61,940

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Solution

The fourth proportional to 101,684, 140,323.92 and 61,940 is: 85,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684 : 140,323.92 = 61,940 : x
  2. Step 2: Convert to fraction form
    101,684/140,323.92 = 61,940/x
  3. Step 3: Cross multiply
    101,684x = 140,323.92 × 61,940
  4. Step 4: Simplify right side
    101,684x = 8,691,663,604.80
  5. Step 5: Solve for x
    x = 8,691,663,604.80/101,684
  6. Step 6: Final answer
    x = 85,477.20

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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.