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Finding the Fourth Proportional to 225,776.55, 338,774.88 and 99,400.76

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Solution

The fourth proportional to 225,776.55, 338,774.88 and 99,400.76 is: 149,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,776.55 : 338,774.88 = 99,400.76 : x
  2. Step 2: Convert to fraction form
    225,776.55/338,774.88 = 99,400.76/x
  3. Step 3: Cross multiply
    225,776.55x = 338,774.88 × 99,400.76
  4. Step 4: Simplify right side
    225,776.55x = 33,674,478,847.03
  5. Step 5: Solve for x
    x = 33,674,478,847.03/225,776.55
  6. Step 6: Final answer
    x = 149,149.59

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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.