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Finding the Fourth Proportional to 70,062.80, 105,111 and 20,141.88

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Solution

The fourth proportional to 70,062.80, 105,111 and 20,141.88 is: 30,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,062.80 : 105,111 = 20,141.88 : x
  2. Step 2: Convert to fraction form
    70,062.80/105,111 = 20,141.88/x
  3. Step 3: Cross multiply
    70,062.80x = 105,111 × 20,141.88
  4. Step 4: Simplify right side
    70,062.80x = 2,117,133,148.68
  5. Step 5: Solve for x
    x = 2,117,133,148.68/70,062.80
  6. Step 6: Final answer
    x = 30,217.65

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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.