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Finding the Fourth Proportional to 76,698.92, 115,076.06 and 26,786.40

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Solution

The fourth proportional to 76,698.92, 115,076.06 and 26,786.40 is: 40,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.92 : 115,076.06 = 26,786.40 : x
  2. Step 2: Convert to fraction form
    76,698.92/115,076.06 = 26,786.40/x
  3. Step 3: Cross multiply
    76,698.92x = 115,076.06 × 26,786.40
  4. Step 4: Simplify right side
    76,698.92x = 3,082,473,373.58
  5. Step 5: Solve for x
    x = 3,082,473,373.58/76,698.92
  6. Step 6: Final answer
    x = 40,189.27

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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.