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Finding the Fourth Proportional to 69,703.76, 104,496.85 and 30,231.14

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Solution

The fourth proportional to 69,703.76, 104,496.85 and 30,231.14 is: 45,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,703.76 : 104,496.85 = 30,231.14 : x
  2. Step 2: Convert to fraction form
    69,703.76/104,496.85 = 30,231.14/x
  3. Step 3: Cross multiply
    69,703.76x = 104,496.85 × 30,231.14
  4. Step 4: Simplify right side
    69,703.76x = 3,159,059,200.94
  5. Step 5: Solve for x
    x = 3,159,059,200.94/69,703.76
  6. Step 6: Final answer
    x = 45,321.22

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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.