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Finding the Fourth Proportional to 65,398.80, 90,260.46 and 38,550

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Solution

The fourth proportional to 65,398.80, 90,260.46 and 38,550 is: 53,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398.80 : 90,260.46 = 38,550 : x
  2. Step 2: Convert to fraction form
    65,398.80/90,260.46 = 38,550/x
  3. Step 3: Cross multiply
    65,398.80x = 90,260.46 × 38,550
  4. Step 4: Simplify right side
    65,398.80x = 3,479,540,733.00
  5. Step 5: Solve for x
    x = 3,479,540,733.00/65,398.80
  6. Step 6: Final answer
    x = 53,204.96

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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.