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Finding the Fourth Proportional to 140,305.73, 193,618.76 and 76,643.78

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Solution

The fourth proportional to 140,305.73, 193,618.76 and 76,643.78 is: 105,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,305.73 : 193,618.76 = 76,643.78 : x
  2. Step 2: Convert to fraction form
    140,305.73/193,618.76 = 76,643.78/x
  3. Step 3: Cross multiply
    140,305.73x = 193,618.76 × 76,643.78
  4. Step 4: Simplify right side
    140,305.73x = 14,839,672,294.00
  5. Step 5: Solve for x
    x = 14,839,672,294.00/140,305.73
  6. Step 6: Final answer
    x = 105,766.69

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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.