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Finding the Fourth Proportional to 140,394.13, 193,741.02 and 76,732.38

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Solution

The fourth proportional to 140,394.13, 193,741.02 and 76,732.38 is: 105,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394.13 : 193,741.02 = 76,732.38 : x
  2. Step 2: Convert to fraction form
    140,394.13/193,741.02 = 76,732.38/x
  3. Step 3: Cross multiply
    140,394.13x = 193,741.02 × 76,732.38
  4. Step 4: Simplify right side
    140,394.13x = 14,866,209,568.23
  5. Step 5: Solve for x
    x = 14,866,209,568.23/140,394.13
  6. Step 6: Final answer
    x = 105,889.11

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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.