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Finding the Fourth Proportional to 76,900.73, 115,142.65 and 39,886.97

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Solution

The fourth proportional to 76,900.73, 115,142.65 and 39,886.97 is: 59,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900.73 : 115,142.65 = 39,886.97 : x
  2. Step 2: Convert to fraction form
    76,900.73/115,142.65 = 39,886.97/x
  3. Step 3: Cross multiply
    76,900.73x = 115,142.65 × 39,886.97
  4. Step 4: Simplify right side
    76,900.73x = 4,592,690,750.84
  5. Step 5: Solve for x
    x = 4,592,690,750.84/76,900.73
  6. Step 6: Final answer
    x = 59,722.33

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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.