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Finding the Fourth Proportional to 69,978.87, 96,603.21 and 41,288.76

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Solution

The fourth proportional to 69,978.87, 96,603.21 and 41,288.76 is: 56,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,978.87 : 96,603.21 = 41,288.76 : x
  2. Step 2: Convert to fraction form
    69,978.87/96,603.21 = 41,288.76/x
  3. Step 3: Cross multiply
    69,978.87x = 96,603.21 × 41,288.76
  4. Step 4: Simplify right side
    69,978.87x = 3,988,626,752.92
  5. Step 5: Solve for x
    x = 3,988,626,752.92/69,978.87
  6. Step 6: Final answer
    x = 56,997.59

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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.