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Finding the Fourth Proportional to 83,864, 115,732.32 and 46,137.44

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Solution

The fourth proportional to 83,864, 115,732.32 and 46,137.44 is: 63,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,864 : 115,732.32 = 46,137.44 : x
  2. Step 2: Convert to fraction form
    83,864/115,732.32 = 46,137.44/x
  3. Step 3: Cross multiply
    83,864x = 115,732.32 × 46,137.44
  4. Step 4: Simplify right side
    83,864x = 5,339,592,970.06
  5. Step 5: Solve for x
    x = 5,339,592,970.06/83,864
  6. Step 6: Final answer
    x = 63,669.67

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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.