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Finding the Fourth Proportional to 221,548.32, 331,792.74 and 127,769.76

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Solution

The fourth proportional to 221,548.32, 331,792.74 and 127,769.76 is: 191,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548.32 : 331,792.74 = 127,769.76 : x
  2. Step 2: Convert to fraction form
    221,548.32/331,792.74 = 127,769.76/x
  3. Step 3: Cross multiply
    221,548.32x = 331,792.74 × 127,769.76
  4. Step 4: Simplify right side
    221,548.32x = 42,393,078,759.54
  5. Step 5: Solve for x
    x = 42,393,078,759.54/221,548.32
  6. Step 6: Final answer
    x = 191,349.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.