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Finding the Fourth Proportional to 51,979.76, 78,101.01 and 49,877.88

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Solution

The fourth proportional to 51,979.76, 78,101.01 and 49,877.88 is: 74,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,979.76 : 78,101.01 = 49,877.88 : x
  2. Step 2: Convert to fraction form
    51,979.76/78,101.01 = 49,877.88/x
  3. Step 3: Cross multiply
    51,979.76x = 78,101.01 × 49,877.88
  4. Step 4: Simplify right side
    51,979.76x = 3,895,512,804.66
  5. Step 5: Solve for x
    x = 3,895,512,804.66/51,979.76
  6. Step 6: Final answer
    x = 74,942.89

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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.