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Finding the Fourth Proportional to 114,863.54, 172,338.51 and 39,989.30

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Solution

The fourth proportional to 114,863.54, 172,338.51 and 39,989.30 is: 59,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,863.54 : 172,338.51 = 39,989.30 : x
  2. Step 2: Convert to fraction form
    114,863.54/172,338.51 = 39,989.30/x
  3. Step 3: Cross multiply
    114,863.54x = 172,338.51 × 39,989.30
  4. Step 4: Simplify right side
    114,863.54x = 6,891,696,377.94
  5. Step 5: Solve for x
    x = 6,891,696,377.94/114,863.54
  6. Step 6: Final answer
    x = 59,998.99

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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.