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Finding the Fourth Proportional to 109,786.64, 164,900.40 and 65,499.80

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Solution

The fourth proportional to 109,786.64, 164,900.40 and 65,499.80 is: 98,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,786.64 : 164,900.40 = 65,499.80 : x
  2. Step 2: Convert to fraction form
    109,786.64/164,900.40 = 65,499.80/x
  3. Step 3: Cross multiply
    109,786.64x = 164,900.40 × 65,499.80
  4. Step 4: Simplify right side
    109,786.64x = 10,800,943,219.92
  5. Step 5: Solve for x
    x = 10,800,943,219.92/109,786.64
  6. Step 6: Final answer
    x = 98,381.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.