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Finding the Fourth Proportional to 84,651.81, 116,553.51 and 71,878.11

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Solution

The fourth proportional to 84,651.81, 116,553.51 and 71,878.11 is: 98,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.81 : 116,553.51 = 71,878.11 : x
  2. Step 2: Convert to fraction form
    84,651.81/116,553.51 = 71,878.11/x
  3. Step 3: Cross multiply
    84,651.81x = 116,553.51 × 71,878.11
  4. Step 4: Simplify right side
    84,651.81x = 8,377,646,012.67
  5. Step 5: Solve for x
    x = 8,377,646,012.67/84,651.81
  6. Step 6: Final answer
    x = 98,965.94

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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.