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Finding the Fourth Proportional to 77,872.56, 107,455.32 and 47,664.96

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Solution

The fourth proportional to 77,872.56, 107,455.32 and 47,664.96 is: 65,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,872.56 : 107,455.32 = 47,664.96 : x
  2. Step 2: Convert to fraction form
    77,872.56/107,455.32 = 47,664.96/x
  3. Step 3: Cross multiply
    77,872.56x = 107,455.32 × 47,664.96
  4. Step 4: Simplify right side
    77,872.56x = 5,121,853,529.59
  5. Step 5: Solve for x
    x = 5,121,853,529.59/77,872.56
  6. Step 6: Final answer
    x = 65,772.25

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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.