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Finding the Fourth Proportional to 77,141.85, 115,690.10 and 32,768.25

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Solution

The fourth proportional to 77,141.85, 115,690.10 and 32,768.25 is: 49,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.85 : 115,690.10 = 32,768.25 : x
  2. Step 2: Convert to fraction form
    77,141.85/115,690.10 = 32,768.25/x
  3. Step 3: Cross multiply
    77,141.85x = 115,690.10 × 32,768.25
  4. Step 4: Simplify right side
    77,141.85x = 3,790,961,955.48
  5. Step 5: Solve for x
    x = 3,790,961,955.48/77,141.85
  6. Step 6: Final answer
    x = 49,142.74

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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.