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Finding the Fourth Proportional to 206,763.84, 310,142.16 and 113,218.56

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Solution

The fourth proportional to 206,763.84, 310,142.16 and 113,218.56 is: 169,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763.84 : 310,142.16 = 113,218.56 : x
  2. Step 2: Convert to fraction form
    206,763.84/310,142.16 = 113,218.56/x
  3. Step 3: Cross multiply
    206,763.84x = 310,142.16 × 113,218.56
  4. Step 4: Simplify right side
    206,763.84x = 35,113,848,750.49
  5. Step 5: Solve for x
    x = 35,113,848,750.49/206,763.84
  6. Step 6: Final answer
    x = 169,825.87

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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.