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Finding the Fourth Proportional to 70,542.80, 105,824.92 and 23,142.16

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Solution

The fourth proportional to 70,542.80, 105,824.92 and 23,142.16 is: 34,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.80 : 105,824.92 = 23,142.16 : x
  2. Step 2: Convert to fraction form
    70,542.80/105,824.92 = 23,142.16/x
  3. Step 3: Cross multiply
    70,542.80x = 105,824.92 × 23,142.16
  4. Step 4: Simplify right side
    70,542.80x = 2,449,017,230.63
  5. Step 5: Solve for x
    x = 2,449,017,230.63/70,542.80
  6. Step 6: Final answer
    x = 34,716.76

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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.