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Finding the Fourth Proportional to 70,271.43, 105,238.24 and 40,194.48

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Solution

The fourth proportional to 70,271.43, 105,238.24 and 40,194.48 is: 60,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,271.43 : 105,238.24 = 40,194.48 : x
  2. Step 2: Convert to fraction form
    70,271.43/105,238.24 = 40,194.48/x
  3. Step 3: Cross multiply
    70,271.43x = 105,238.24 × 40,194.48
  4. Step 4: Simplify right side
    70,271.43x = 4,229,996,627.07
  5. Step 5: Solve for x
    x = 4,229,996,627.07/70,271.43
  6. Step 6: Final answer
    x = 60,195.12

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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.