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Finding the Fourth Proportional to 71,977.32, 107,751.90 and 43,812.84

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Solution

The fourth proportional to 71,977.32, 107,751.90 and 43,812.84 is: 65,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,977.32 : 107,751.90 = 43,812.84 : x
  2. Step 2: Convert to fraction form
    71,977.32/107,751.90 = 43,812.84/x
  3. Step 3: Cross multiply
    71,977.32x = 107,751.90 × 43,812.84
  4. Step 4: Simplify right side
    71,977.32x = 4,720,916,754.40
  5. Step 5: Solve for x
    x = 4,720,916,754.40/71,977.32
  6. Step 6: Final answer
    x = 65,588.95

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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.