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Finding the Fourth Proportional to 71,709.36, 107,391.78 and 40,041.60

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Solution

The fourth proportional to 71,709.36, 107,391.78 and 40,041.60 is: 59,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.36 : 107,391.78 = 40,041.60 : x
  2. Step 2: Convert to fraction form
    71,709.36/107,391.78 = 40,041.60/x
  3. Step 3: Cross multiply
    71,709.36x = 107,391.78 × 40,041.60
  4. Step 4: Simplify right side
    71,709.36x = 4,300,138,698.05
  5. Step 5: Solve for x
    x = 4,300,138,698.05/71,709.36
  6. Step 6: Final answer
    x = 59,966.21

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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.