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Finding the Fourth Proportional to 70,053.72, 105,020.64 and 30,581.88

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Solution

The fourth proportional to 70,053.72, 105,020.64 and 30,581.88 is: 45,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,053.72 : 105,020.64 = 30,581.88 : x
  2. Step 2: Convert to fraction form
    70,053.72/105,020.64 = 30,581.88/x
  3. Step 3: Cross multiply
    70,053.72x = 105,020.64 × 30,581.88
  4. Step 4: Simplify right side
    70,053.72x = 3,211,728,610.00
  5. Step 5: Solve for x
    x = 3,211,728,610.00/70,053.72
  6. Step 6: Final answer
    x = 45,846.65

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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.