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Finding the Fourth Proportional to 71,682.81, 98,924.79 and 39,419.88

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Solution

The fourth proportional to 71,682.81, 98,924.79 and 39,419.88 is: 54,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.81 : 98,924.79 = 39,419.88 : x
  2. Step 2: Convert to fraction form
    71,682.81/98,924.79 = 39,419.88/x
  3. Step 3: Cross multiply
    71,682.81x = 98,924.79 × 39,419.88
  4. Step 4: Simplify right side
    71,682.81x = 3,899,603,350.83
  5. Step 5: Solve for x
    x = 3,899,603,350.83/71,682.81
  6. Step 6: Final answer
    x = 54,400.82

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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.