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Finding the Fourth Proportional to 207,340.86, 311,010.74 and 57,581.22

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Solution

The fourth proportional to 207,340.86, 311,010.74 and 57,581.22 is: 86,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,340.86 : 311,010.74 = 57,581.22 : x
  2. Step 2: Convert to fraction form
    207,340.86/311,010.74 = 57,581.22/x
  3. Step 3: Cross multiply
    207,340.86x = 311,010.74 × 57,581.22
  4. Step 4: Simplify right side
    207,340.86x = 17,908,377,842.30
  5. Step 5: Solve for x
    x = 17,908,377,842.30/207,340.86
  6. Step 6: Final answer
    x = 86,371.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.