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Finding the Fourth Proportional to 65,850, 90,872.99 and 35,635.32

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Solution

The fourth proportional to 65,850, 90,872.99 and 35,635.32 is: 49,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850 : 90,872.99 = 35,635.32 : x
  2. Step 2: Convert to fraction form
    65,850/90,872.99 = 35,635.32/x
  3. Step 3: Cross multiply
    65,850x = 90,872.99 × 35,635.32
  4. Step 4: Simplify right side
    65,850x = 3,238,288,078.01
  5. Step 5: Solve for x
    x = 3,238,288,078.01/65,850
  6. Step 6: Final answer
    x = 49,176.74

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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.