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Finding the Fourth Proportional to 65,106.80, 89,836.26 and 36,811.88

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Solution

The fourth proportional to 65,106.80, 89,836.26 and 36,811.88 is: 50,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.80 : 89,836.26 = 36,811.88 : x
  2. Step 2: Convert to fraction form
    65,106.80/89,836.26 = 36,811.88/x
  3. Step 3: Cross multiply
    65,106.80x = 89,836.26 × 36,811.88
  4. Step 4: Simplify right side
    65,106.80x = 3,307,041,622.77
  5. Step 5: Solve for x
    x = 3,307,041,622.77/65,106.80
  6. Step 6: Final answer
    x = 50,794.10

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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.