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Finding the Fourth Proportional to 100,419.76, 150,469.74 and 53,033.08

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Solution

The fourth proportional to 100,419.76, 150,469.74 and 53,033.08 is: 79,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.76 : 150,469.74 = 53,033.08 : x
  2. Step 2: Convert to fraction form
    100,419.76/150,469.74 = 53,033.08/x
  3. Step 3: Cross multiply
    100,419.76x = 150,469.74 × 53,033.08
  4. Step 4: Simplify right side
    100,419.76x = 7,979,873,759.00
  5. Step 5: Solve for x
    x = 7,979,873,759.00/100,419.76
  6. Step 6: Final answer
    x = 79,465.17

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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.