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Finding the Fourth Proportional to 207,196.78, 310,795.17 and 82,538.86

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Solution

The fourth proportional to 207,196.78, 310,795.17 and 82,538.86 is: 123,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,196.78 : 310,795.17 = 82,538.86 : x
  2. Step 2: Convert to fraction form
    207,196.78/310,795.17 = 82,538.86/x
  3. Step 3: Cross multiply
    207,196.78x = 310,795.17 × 82,538.86
  4. Step 4: Simplify right side
    207,196.78x = 25,652,679,025.31
  5. Step 5: Solve for x
    x = 25,652,679,025.31/207,196.78
  6. Step 6: Final answer
    x = 123,808.29

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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.