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Finding the Fourth Proportional to 81,703.16, 112,732.87 and 47,696.21

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Solution

The fourth proportional to 81,703.16, 112,732.87 and 47,696.21 is: 65,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.16 : 112,732.87 = 47,696.21 : x
  2. Step 2: Convert to fraction form
    81,703.16/112,732.87 = 47,696.21/x
  3. Step 3: Cross multiply
    81,703.16x = 112,732.87 × 47,696.21
  4. Step 4: Simplify right side
    81,703.16x = 5,376,930,923.25
  5. Step 5: Solve for x
    x = 5,376,930,923.25/81,703.16
  6. Step 6: Final answer
    x = 65,810.56

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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.