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Finding the Fourth Proportional to 154,850.40, 213,692.40 and 87,784.80

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Solution

The fourth proportional to 154,850.40, 213,692.40 and 87,784.80 is: 121,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,850.40 : 213,692.40 = 87,784.80 : x
  2. Step 2: Convert to fraction form
    154,850.40/213,692.40 = 87,784.80/x
  3. Step 3: Cross multiply
    154,850.40x = 213,692.40 × 87,784.80
  4. Step 4: Simplify right side
    154,850.40x = 18,758,944,595.52
  5. Step 5: Solve for x
    x = 18,758,944,595.52/154,850.40
  6. Step 6: Final answer
    x = 121,142.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.