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Finding the Fourth Proportional to 83,007.16, 113,971.13 and 80,842.12

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Solution

The fourth proportional to 83,007.16, 113,971.13 and 80,842.12 is: 110,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.16 : 113,971.13 = 80,842.12 : x
  2. Step 2: Convert to fraction form
    83,007.16/113,971.13 = 80,842.12/x
  3. Step 3: Cross multiply
    83,007.16x = 113,971.13 × 80,842.12
  4. Step 4: Simplify right side
    83,007.16x = 9,213,667,768.00
  5. Step 5: Solve for x
    x = 9,213,667,768.00/83,007.16
  6. Step 6: Final answer
    x = 110,998.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.