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Finding the Fourth Proportional to 81,667.44, 112,711.50 and 49,829.58

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Solution

The fourth proportional to 81,667.44, 112,711.50 and 49,829.58 is: 68,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,667.44 : 112,711.50 = 49,829.58 : x
  2. Step 2: Convert to fraction form
    81,667.44/112,711.50 = 49,829.58/x
  3. Step 3: Cross multiply
    81,667.44x = 112,711.50 × 49,829.58
  4. Step 4: Simplify right side
    81,667.44x = 5,616,366,706.17
  5. Step 5: Solve for x
    x = 5,616,366,706.17/81,667.44
  6. Step 6: Final answer
    x = 68,771.19

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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.