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Finding the Fourth Proportional to 206,781.46, 310,213.70 and 94,431.49

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Solution

The fourth proportional to 206,781.46, 310,213.70 and 94,431.49 is: 141,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,781.46 : 310,213.70 = 94,431.49 : x
  2. Step 2: Convert to fraction form
    206,781.46/310,213.70 = 94,431.49/x
  3. Step 3: Cross multiply
    206,781.46x = 310,213.70 × 94,431.49
  4. Step 4: Simplify right side
    206,781.46x = 29,293,941,015.84
  5. Step 5: Solve for x
    x = 29,293,941,015.84/206,781.46
  6. Step 6: Final answer
    x = 141,666.19

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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.