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Finding the Fourth Proportional to 84,442, 116,519.83 and 48,643.65

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Solution

The fourth proportional to 84,442, 116,519.83 and 48,643.65 is: 67,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,442 : 116,519.83 = 48,643.65 : x
  2. Step 2: Convert to fraction form
    84,442/116,519.83 = 48,643.65/x
  3. Step 3: Cross multiply
    84,442x = 116,519.83 × 48,643.65
  4. Step 4: Simplify right side
    84,442x = 5,667,949,828.58
  5. Step 5: Solve for x
    x = 5,667,949,828.58/84,442
  6. Step 6: Final answer
    x = 67,122.40

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1.5x scale

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.