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Finding the Fourth Proportional to 49,106.72, 67,772.76 and 27,889.76

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Solution

The fourth proportional to 49,106.72, 67,772.76 and 27,889.76 is: 38,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,106.72 : 67,772.76 = 27,889.76 : x
  2. Step 2: Convert to fraction form
    49,106.72/67,772.76 = 27,889.76/x
  3. Step 3: Cross multiply
    49,106.72x = 67,772.76 × 27,889.76
  4. Step 4: Simplify right side
    49,106.72x = 1,890,166,010.94
  5. Step 5: Solve for x
    x = 1,890,166,010.94/49,106.72
  6. Step 6: Final answer
    x = 38,490.98

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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.