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Finding the Fourth Proportional to 207,901.89, 311,587.70 and 101,311.29

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Solution

The fourth proportional to 207,901.89, 311,587.70 and 101,311.29 is: 151,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.89 : 311,587.70 = 101,311.29 : x
  2. Step 2: Convert to fraction form
    207,901.89/311,587.70 = 101,311.29/x
  3. Step 3: Cross multiply
    207,901.89x = 311,587.70 × 101,311.29
  4. Step 4: Simplify right side
    207,901.89x = 31,567,351,328.58
  5. Step 5: Solve for x
    x = 31,567,351,328.58/207,901.89
  6. Step 6: Final answer
    x = 151,837.73

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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.