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Finding the Fourth Proportional to 71,857.76, 107,786.66 and 21,938.16

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Solution

The fourth proportional to 71,857.76, 107,786.66 and 21,938.16 is: 32,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.76 : 107,786.66 = 21,938.16 : x
  2. Step 2: Convert to fraction form
    71,857.76/107,786.66 = 21,938.16/x
  3. Step 3: Cross multiply
    71,857.76x = 107,786.66 × 21,938.16
  4. Step 4: Simplify right side
    71,857.76x = 2,364,640,992.95
  5. Step 5: Solve for x
    x = 2,364,640,992.95/71,857.76
  6. Step 6: Final answer
    x = 32,907.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.