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Finding the Fourth Proportional to 76,872.87, 105,979.05 and 51,383.39

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Solution

The fourth proportional to 76,872.87, 105,979.05 and 51,383.39 is: 70,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872.87 : 105,979.05 = 51,383.39 : x
  2. Step 2: Convert to fraction form
    76,872.87/105,979.05 = 51,383.39/x
  3. Step 3: Cross multiply
    76,872.87x = 105,979.05 × 51,383.39
  4. Step 4: Simplify right side
    76,872.87x = 5,445,562,328.08
  5. Step 5: Solve for x
    x = 5,445,562,328.08/76,872.87
  6. Step 6: Final answer
    x = 70,838.55

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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.