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Finding the Fourth Proportional to 71,677.98, 98,903.97 and 39,846.06

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Solution

The fourth proportional to 71,677.98, 98,903.97 and 39,846.06 is: 54,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.98 : 98,903.97 = 39,846.06 : x
  2. Step 2: Convert to fraction form
    71,677.98/98,903.97 = 39,846.06/x
  3. Step 3: Cross multiply
    71,677.98x = 98,903.97 × 39,846.06
  4. Step 4: Simplify right side
    71,677.98x = 3,940,933,522.86
  5. Step 5: Solve for x
    x = 3,940,933,522.86/71,677.98
  6. Step 6: Final answer
    x = 54,981.09

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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.