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Finding the Fourth Proportional to 70,540.80, 105,821.92 and 23,140.16

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Solution

The fourth proportional to 70,540.80, 105,821.92 and 23,140.16 is: 34,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540.80 : 105,821.92 = 23,140.16 : x
  2. Step 2: Convert to fraction form
    70,540.80/105,821.92 = 23,140.16/x
  3. Step 3: Cross multiply
    70,540.80x = 105,821.92 × 23,140.16
  4. Step 4: Simplify right side
    70,540.80x = 2,448,736,160.31
  5. Step 5: Solve for x
    x = 2,448,736,160.31/70,540.80
  6. Step 6: Final answer
    x = 34,713.76

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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.