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Finding the Fourth Proportional to 154,388.62, 213,065.68 and 86,404.20

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Solution

The fourth proportional to 154,388.62, 213,065.68 and 86,404.20 is: 119,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,388.62 : 213,065.68 = 86,404.20 : x
  2. Step 2: Convert to fraction form
    154,388.62/213,065.68 = 86,404.20/x
  3. Step 3: Cross multiply
    154,388.62x = 213,065.68 × 86,404.20
  4. Step 4: Simplify right side
    154,388.62x = 18,409,769,627.86
  5. Step 5: Solve for x
    x = 18,409,769,627.86/154,388.62
  6. Step 6: Final answer
    x = 119,243.05

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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.