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Finding the Fourth Proportional to 65,893.65, 90,933.10 and 35,679

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Solution

The fourth proportional to 65,893.65, 90,933.10 and 35,679 is: 49,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.65 : 90,933.10 = 35,679 : x
  2. Step 2: Convert to fraction form
    65,893.65/90,933.10 = 35,679/x
  3. Step 3: Cross multiply
    65,893.65x = 90,933.10 × 35,679
  4. Step 4: Simplify right side
    65,893.65x = 3,244,402,074.90
  5. Step 5: Solve for x
    x = 3,244,402,074.90/65,893.65
  6. Step 6: Final answer
    x = 49,236.95

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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.