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Finding the Fourth Proportional to 221,605.50, 305,816.40 and 121,003.50

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Solution

The fourth proportional to 221,605.50, 305,816.40 and 121,003.50 is: 166,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,605.50 : 305,816.40 = 121,003.50 : x
  2. Step 2: Convert to fraction form
    221,605.50/305,816.40 = 121,003.50/x
  3. Step 3: Cross multiply
    221,605.50x = 305,816.40 × 121,003.50
  4. Step 4: Simplify right side
    221,605.50x = 37,004,854,757.40
  5. Step 5: Solve for x
    x = 37,004,854,757.40/221,605.50
  6. Step 6: Final answer
    x = 166,985.27

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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.