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Finding the Fourth Proportional to 69,782.52, 104,677.20 and 19,866.12

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Solution

The fourth proportional to 69,782.52, 104,677.20 and 19,866.12 is: 29,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.52 : 104,677.20 = 19,866.12 : x
  2. Step 2: Convert to fraction form
    69,782.52/104,677.20 = 19,866.12/x
  3. Step 3: Cross multiply
    69,782.52x = 104,677.20 × 19,866.12
  4. Step 4: Simplify right side
    69,782.52x = 2,079,529,816.46
  5. Step 5: Solve for x
    x = 2,079,529,816.46/69,782.52
  6. Step 6: Final answer
    x = 29,800.15

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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.