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Finding the Fourth Proportional to 65,850, 90,873.36 and 36,042

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Solution

The fourth proportional to 65,850, 90,873.36 and 36,042 is: 49,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850 : 90,873.36 = 36,042 : x
  2. Step 2: Convert to fraction form
    65,850/90,873.36 = 36,042/x
  3. Step 3: Cross multiply
    65,850x = 90,873.36 × 36,042
  4. Step 4: Simplify right side
    65,850x = 3,275,257,641.12
  5. Step 5: Solve for x
    x = 3,275,257,641.12/65,850
  6. Step 6: Final answer
    x = 49,738.16

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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.