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Finding the Fourth Proportional to 206,153.79, 308,541.67 and 117,383.47

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Solution

The fourth proportional to 206,153.79, 308,541.67 and 117,383.47 is: 175,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153.79 : 308,541.67 = 117,383.47 : x
  2. Step 2: Convert to fraction form
    206,153.79/308,541.67 = 117,383.47/x
  3. Step 3: Cross multiply
    206,153.79x = 308,541.67 × 117,383.47
  4. Step 4: Simplify right side
    206,153.79x = 36,217,691,277.28
  5. Step 5: Solve for x
    x = 36,217,691,277.28/206,153.79
  6. Step 6: Final answer
    x = 175,682.88

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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.