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Finding the Fourth Proportional to 77,119.80, 115,693.41 and 27,228.86

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Solution

The fourth proportional to 77,119.80, 115,693.41 and 27,228.86 is: 40,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,119.80 : 115,693.41 = 27,228.86 : x
  2. Step 2: Convert to fraction form
    77,119.80/115,693.41 = 27,228.86/x
  3. Step 3: Cross multiply
    77,119.80x = 115,693.41 × 27,228.86
  4. Step 4: Simplify right side
    77,119.80x = 3,150,199,621.30
  5. Step 5: Solve for x
    x = 3,150,199,621.30/77,119.80
  6. Step 6: Final answer
    x = 40,848.13

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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.