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Finding the Fourth Proportional to 154,468, 213,169.08 and 87,400

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Solution

The fourth proportional to 154,468, 213,169.08 and 87,400 is: 120,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,468 : 213,169.08 = 87,400 : x
  2. Step 2: Convert to fraction form
    154,468/213,169.08 = 87,400/x
  3. Step 3: Cross multiply
    154,468x = 213,169.08 × 87,400
  4. Step 4: Simplify right side
    154,468x = 18,630,977,592
  5. Step 5: Solve for x
    x = 18,630,977,592/154,468
  6. Step 6: Final answer
    x = 120,613.83

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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.