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Finding the Fourth Proportional to 140,866.54, 194,396.42 and 76,335.91

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Solution

The fourth proportional to 140,866.54, 194,396.42 and 76,335.91 is: 105,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.54 : 194,396.42 = 76,335.91 : x
  2. Step 2: Convert to fraction form
    140,866.54/194,396.42 = 76,335.91/x
  3. Step 3: Cross multiply
    140,866.54x = 194,396.42 × 76,335.91
  4. Step 4: Simplify right side
    140,866.54x = 14,839,427,326.29
  5. Step 5: Solve for x
    x = 14,839,427,326.29/140,866.54
  6. Step 6: Final answer
    x = 105,343.88

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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.