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Finding the Fourth Proportional to 70,431.42, 105,665.51 and 20,510.42

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Solution

The fourth proportional to 70,431.42, 105,665.51 and 20,510.42 is: 30,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,431.42 : 105,665.51 = 20,510.42 : x
  2. Step 2: Convert to fraction form
    70,431.42/105,665.51 = 20,510.42/x
  3. Step 3: Cross multiply
    70,431.42x = 105,665.51 × 20,510.42
  4. Step 4: Simplify right side
    70,431.42x = 2,167,243,512.56
  5. Step 5: Solve for x
    x = 2,167,243,512.56/70,431.42
  6. Step 6: Final answer
    x = 30,770.97

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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.