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Finding the Fourth Proportional to 81,703.32, 112,733.09 and 47,696.37

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Solution

The fourth proportional to 81,703.32, 112,733.09 and 47,696.37 is: 65,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.32 : 112,733.09 = 47,696.37 : x
  2. Step 2: Convert to fraction form
    81,703.32/112,733.09 = 47,696.37/x
  3. Step 3: Cross multiply
    81,703.32x = 112,733.09 × 47,696.37
  4. Step 4: Simplify right side
    81,703.32x = 5,376,959,052.64
  5. Step 5: Solve for x
    x = 5,376,959,052.64/81,703.32
  6. Step 6: Final answer
    x = 65,810.78

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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.