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Finding the Fourth Proportional to 69,565.50, 96,000.42 and 39,757.50

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Solution

The fourth proportional to 69,565.50, 96,000.42 and 39,757.50 is: 54,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,565.50 : 96,000.42 = 39,757.50 : x
  2. Step 2: Convert to fraction form
    69,565.50/96,000.42 = 39,757.50/x
  3. Step 3: Cross multiply
    69,565.50x = 96,000.42 × 39,757.50
  4. Step 4: Simplify right side
    69,565.50x = 3,816,736,698.15
  5. Step 5: Solve for x
    x = 3,816,736,698.15/69,565.50
  6. Step 6: Final answer
    x = 54,865.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.