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Finding the Fourth Proportional to 77,872.38, 107,467.86 and 47,648.22

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Solution

The fourth proportional to 77,872.38, 107,467.86 and 47,648.22 is: 65,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,872.38 : 107,467.86 = 47,648.22 : x
  2. Step 2: Convert to fraction form
    77,872.38/107,467.86 = 47,648.22/x
  3. Step 3: Cross multiply
    77,872.38x = 107,467.86 × 47,648.22
  4. Step 4: Simplify right side
    77,872.38x = 5,120,652,236.21
  5. Step 5: Solve for x
    x = 5,120,652,236.21/77,872.38
  6. Step 6: Final answer
    x = 65,756.98

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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.