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Finding the Fourth Proportional to 207,233.40, 310,978.10 and 82,561.40

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Solution

The fourth proportional to 207,233.40, 310,978.10 and 82,561.40 is: 123,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,233.40 : 310,978.10 = 82,561.40 : x
  2. Step 2: Convert to fraction form
    207,233.40/310,978.10 = 82,561.40/x
  3. Step 3: Cross multiply
    207,233.40x = 310,978.10 × 82,561.40
  4. Step 4: Simplify right side
    207,233.40x = 25,674,787,305.34
  5. Step 5: Solve for x
    x = 25,674,787,305.34/207,233.40
  6. Step 6: Final answer
    x = 123,893.09

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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.