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Finding the Fourth Proportional to 70,472.46, 105,724.24 and 20,556.46

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Solution

The fourth proportional to 70,472.46, 105,724.24 and 20,556.46 is: 30,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.46 : 105,724.24 = 20,556.46 : x
  2. Step 2: Convert to fraction form
    70,472.46/105,724.24 = 20,556.46/x
  3. Step 3: Cross multiply
    70,472.46x = 105,724.24 × 20,556.46
  4. Step 4: Simplify right side
    70,472.46x = 2,173,316,007.81
  5. Step 5: Solve for x
    x = 2,173,316,007.81/70,472.46
  6. Step 6: Final answer
    x = 30,839.23

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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.