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Finding the Fourth Proportional to 140,428.75, 193,791.69 and 76,767.01

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Solution

The fourth proportional to 140,428.75, 193,791.69 and 76,767.01 is: 105,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,428.75 : 193,791.69 = 76,767.01 : x
  2. Step 2: Convert to fraction form
    140,428.75/193,791.69 = 76,767.01/x
  3. Step 3: Cross multiply
    140,428.75x = 193,791.69 × 76,767.01
  4. Step 4: Simplify right side
    140,428.75x = 14,876,808,604.15
  5. Step 5: Solve for x
    x = 14,876,808,604.15/140,428.75
  6. Step 6: Final answer
    x = 105,938.48

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1.5x scale

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.