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Finding the Fourth Proportional to 81,785.81, 112,866.24 and 49,972.25

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Solution

The fourth proportional to 81,785.81, 112,866.24 and 49,972.25 is: 68,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,785.81 : 112,866.24 = 49,972.25 : x
  2. Step 2: Convert to fraction form
    81,785.81/112,866.24 = 49,972.25/x
  3. Step 3: Cross multiply
    81,785.81x = 112,866.24 × 49,972.25
  4. Step 4: Simplify right side
    81,785.81x = 5,640,180,431.40
  5. Step 5: Solve for x
    x = 5,640,180,431.40/81,785.81
  6. Step 6: Final answer
    x = 68,962.82

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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.