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Finding the Fourth Proportional to 221,118.88, 305,187.60 and 154,012

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Solution

The fourth proportional to 221,118.88, 305,187.60 and 154,012 is: 212,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,118.88 : 305,187.60 = 154,012 : x
  2. Step 2: Convert to fraction form
    221,118.88/305,187.60 = 154,012/x
  3. Step 3: Cross multiply
    221,118.88x = 305,187.60 × 154,012
  4. Step 4: Simplify right side
    221,118.88x = 47,002,552,651.20
  5. Step 5: Solve for x
    x = 47,002,552,651.20/221,118.88
  6. Step 6: Final answer
    x = 212,566.89

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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.