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Finding the Fourth Proportional to 65,840, 90,859.38 and 36,032

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Solution

The fourth proportional to 65,840, 90,859.38 and 36,032 is: 49,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,840 : 90,859.38 = 36,032 : x
  2. Step 2: Convert to fraction form
    65,840/90,859.38 = 36,032/x
  3. Step 3: Cross multiply
    65,840x = 90,859.38 × 36,032
  4. Step 4: Simplify right side
    65,840x = 3,273,845,180.16
  5. Step 5: Solve for x
    x = 3,273,845,180.16/65,840
  6. Step 6: Final answer
    x = 49,724.26

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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.