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Finding the Fourth Proportional to 225,783.84, 338,878.80 and 120,692.64

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Solution

The fourth proportional to 225,783.84, 338,878.80 and 120,692.64 is: 181,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,783.84 : 338,878.80 = 120,692.64 : x
  2. Step 2: Convert to fraction form
    225,783.84/338,878.80 = 120,692.64/x
  3. Step 3: Cross multiply
    225,783.84x = 338,878.80 × 120,692.64
  4. Step 4: Simplify right side
    225,783.84x = 40,900,177,012.03
  5. Step 5: Solve for x
    x = 40,900,177,012.03/225,783.84
  6. Step 6: Final answer
    x = 181,147.49

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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.