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Finding the Fourth Proportional to 71,468.84, 98,633.08 and 39,648

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Solution

The fourth proportional to 71,468.84, 98,633.08 and 39,648 is: 54,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.84 : 98,633.08 = 39,648 : x
  2. Step 2: Convert to fraction form
    71,468.84/98,633.08 = 39,648/x
  3. Step 3: Cross multiply
    71,468.84x = 98,633.08 × 39,648
  4. Step 4: Simplify right side
    71,468.84x = 3,910,604,355.84
  5. Step 5: Solve for x
    x = 3,910,604,355.84/71,468.84
  6. Step 6: Final answer
    x = 54,717.61

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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.