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Finding the Fourth Proportional to 90,969.75, 136,288.38 and 65,947.74

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Solution

The fourth proportional to 90,969.75, 136,288.38 and 65,947.74 is: 98,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,969.75 : 136,288.38 = 65,947.74 : x
  2. Step 2: Convert to fraction form
    90,969.75/136,288.38 = 65,947.74/x
  3. Step 3: Cross multiply
    90,969.75x = 136,288.38 × 65,947.74
  4. Step 4: Simplify right side
    90,969.75x = 8,987,910,649.26
  5. Step 5: Solve for x
    x = 8,987,910,649.26/90,969.75
  6. Step 6: Final answer
    x = 98,801.09

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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.