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Finding the Fourth Proportional to 207,712.46, 311,568.69 and 65,657.51

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Solution

The fourth proportional to 207,712.46, 311,568.69 and 65,657.51 is: 98,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712.46 : 311,568.69 = 65,657.51 : x
  2. Step 2: Convert to fraction form
    207,712.46/311,568.69 = 65,657.51/x
  3. Step 3: Cross multiply
    207,712.46x = 311,568.69 × 65,657.51
  4. Step 4: Simplify right side
    207,712.46x = 20,456,825,432.19
  5. Step 5: Solve for x
    x = 20,456,825,432.19/207,712.46
  6. Step 6: Final answer
    x = 98,486.27

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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.