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Finding the Fourth Proportional to 69,694.64, 104,545.93 and 19,770.81

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Solution

The fourth proportional to 69,694.64, 104,545.93 and 19,770.81 is: 29,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,694.64 : 104,545.93 = 19,770.81 : x
  2. Step 2: Convert to fraction form
    69,694.64/104,545.93 = 19,770.81/x
  3. Step 3: Cross multiply
    69,694.64x = 104,545.93 × 19,770.81
  4. Step 4: Simplify right side
    69,694.64x = 2,066,957,718.30
  5. Step 5: Solve for x
    x = 2,066,957,718.30/69,694.64
  6. Step 6: Final answer
    x = 29,657.34

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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.