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Finding the Fourth Proportional to 84,438, 116,514.32 and 48,639.65

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Solution

The fourth proportional to 84,438, 116,514.32 and 48,639.65 is: 67,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,438 : 116,514.32 = 48,639.65 : x
  2. Step 2: Convert to fraction form
    84,438/116,514.32 = 48,639.65/x
  3. Step 3: Cross multiply
    84,438x = 116,514.32 × 48,639.65
  4. Step 4: Simplify right side
    84,438x = 5,667,214,919.02
  5. Step 5: Solve for x
    x = 5,667,214,919.02/84,438
  6. Step 6: Final answer
    x = 67,116.88

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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.