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Finding the Fourth Proportional to 65,694, 90,657.84 and 35,886

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Solution

The fourth proportional to 65,694, 90,657.84 and 35,886 is: 49,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694 : 90,657.84 = 35,886 : x
  2. Step 2: Convert to fraction form
    65,694/90,657.84 = 35,886/x
  3. Step 3: Cross multiply
    65,694x = 90,657.84 × 35,886
  4. Step 4: Simplify right side
    65,694x = 3,253,347,246.24
  5. Step 5: Solve for x
    x = 3,253,347,246.24/65,694
  6. Step 6: Final answer
    x = 49,522.75

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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.