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Finding the Fourth Proportional to 83,261.72, 114,905.39 and 49,289.72

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Solution

The fourth proportional to 83,261.72, 114,905.39 and 49,289.72 is: 68,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261.72 : 114,905.39 = 49,289.72 : x
  2. Step 2: Convert to fraction form
    83,261.72/114,905.39 = 49,289.72/x
  3. Step 3: Cross multiply
    83,261.72x = 114,905.39 × 49,289.72
  4. Step 4: Simplify right side
    83,261.72x = 5,663,653,678.62
  5. Step 5: Solve for x
    x = 5,663,653,678.62/83,261.72
  6. Step 6: Final answer
    x = 68,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.