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Finding the Fourth Proportional to 221,736.48, 305,996.24 and 119,761.92

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Solution

The fourth proportional to 221,736.48, 305,996.24 and 119,761.92 is: 165,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,736.48 : 305,996.24 = 119,761.92 : x
  2. Step 2: Convert to fraction form
    221,736.48/305,996.24 = 119,761.92/x
  3. Step 3: Cross multiply
    221,736.48x = 305,996.24 × 119,761.92
  4. Step 4: Simplify right side
    221,736.48x = 36,646,697,215.18
  5. Step 5: Solve for x
    x = 36,646,697,215.18/221,736.48
  6. Step 6: Final answer
    x = 165,271.39

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1.5x scale

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.