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Finding the Fourth Proportional to 65,100.88, 89,838.40 and 38,245.84

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Solution

The fourth proportional to 65,100.88, 89,838.40 and 38,245.84 is: 52,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.88 : 89,838.40 = 38,245.84 : x
  2. Step 2: Convert to fraction form
    65,100.88/89,838.40 = 38,245.84/x
  3. Step 3: Cross multiply
    65,100.88x = 89,838.40 × 38,245.84
  4. Step 4: Simplify right side
    65,100.88x = 3,435,944,623.06
  5. Step 5: Solve for x
    x = 3,435,944,623.06/65,100.88
  6. Step 6: Final answer
    x = 52,778.78

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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.