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Finding the Fourth Proportional to 101,694, 140,337.76 and 61,950

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Solution

The fourth proportional to 101,694, 140,337.76 and 61,950 is: 85,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,694 : 140,337.76 = 61,950 : x
  2. Step 2: Convert to fraction form
    101,694/140,337.76 = 61,950/x
  3. Step 3: Cross multiply
    101,694x = 140,337.76 × 61,950
  4. Step 4: Simplify right side
    101,694x = 8,693,924,232
  5. Step 5: Solve for x
    x = 8,693,924,232/101,694
  6. Step 6: Final answer
    x = 85,491.02

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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.