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Finding the Fourth Proportional to 65,784.25, 90,784.43 and 35,976.25

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Solution

The fourth proportional to 65,784.25, 90,784.43 and 35,976.25 is: 49,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.25 : 90,784.43 = 35,976.25 : x
  2. Step 2: Convert to fraction form
    65,784.25/90,784.43 = 35,976.25/x
  3. Step 3: Cross multiply
    65,784.25x = 90,784.43 × 35,976.25
  4. Step 4: Simplify right side
    65,784.25x = 3,266,083,169.91
  5. Step 5: Solve for x
    x = 3,266,083,169.91/65,784.25
  6. Step 6: Final answer
    x = 49,648.41

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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.