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Finding the Fourth Proportional to 100,618.88, 150,969.62 and 53,221.30

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Solution

The fourth proportional to 100,618.88, 150,969.62 and 53,221.30 is: 79,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,618.88 : 150,969.62 = 53,221.30 : x
  2. Step 2: Convert to fraction form
    100,618.88/150,969.62 = 53,221.30/x
  3. Step 3: Cross multiply
    100,618.88x = 150,969.62 × 53,221.30
  4. Step 4: Simplify right side
    100,618.88x = 8,034,800,041.74
  5. Step 5: Solve for x
    x = 8,034,800,041.74/100,618.88
  6. Step 6: Final answer
    x = 79,853.80

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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.