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Finding the Fourth Proportional to 207,708.48, 311,608.80 and 96,840

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Solution

The fourth proportional to 207,708.48, 311,608.80 and 96,840 is: 145,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,708.48 : 311,608.80 = 96,840 : x
  2. Step 2: Convert to fraction form
    207,708.48/311,608.80 = 96,840/x
  3. Step 3: Cross multiply
    207,708.48x = 311,608.80 × 96,840
  4. Step 4: Simplify right side
    207,708.48x = 30,176,196,192
  5. Step 5: Solve for x
    x = 30,176,196,192/207,708.48
  6. Step 6: Final answer
    x = 145,281.48

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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.