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Finding the Fourth Proportional to 71,782.30, 107,656.98 and 21,168.28

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Solution

The fourth proportional to 71,782.30, 107,656.98 and 21,168.28 is: 31,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782.30 : 107,656.98 = 21,168.28 : x
  2. Step 2: Convert to fraction form
    71,782.30/107,656.98 = 21,168.28/x
  3. Step 3: Cross multiply
    71,782.30x = 107,656.98 × 21,168.28
  4. Step 4: Simplify right side
    71,782.30x = 2,278,913,096.59
  5. Step 5: Solve for x
    x = 2,278,913,096.59/71,782.30
  6. Step 6: Final answer
    x = 31,747.56

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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.