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Finding the Fourth Proportional to 221,374.50, 305,496.51 and 120,772.50

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Solution

The fourth proportional to 221,374.50, 305,496.51 and 120,772.50 is: 166,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,374.50 : 305,496.51 = 120,772.50 : x
  2. Step 2: Convert to fraction form
    221,374.50/305,496.51 = 120,772.50/x
  3. Step 3: Cross multiply
    221,374.50x = 305,496.51 × 120,772.50
  4. Step 4: Simplify right side
    221,374.50x = 36,895,577,253.98
  5. Step 5: Solve for x
    x = 36,895,577,253.98/221,374.50
  6. Step 6: Final answer
    x = 166,665.89

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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.