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Finding the Fourth Proportional to 221,058.91, 305,061.23 and 120,456.91

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Solution

The fourth proportional to 221,058.91, 305,061.23 and 120,456.91 is: 166,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,058.91 : 305,061.23 = 120,456.91 : x
  2. Step 2: Convert to fraction form
    221,058.91/305,061.23 = 120,456.91/x
  3. Step 3: Cross multiply
    221,058.91x = 305,061.23 × 120,456.91
  4. Step 4: Simplify right side
    221,058.91x = 36,746,733,126.60
  5. Step 5: Solve for x
    x = 36,746,733,126.60/221,058.91
  6. Step 6: Final answer
    x = 166,230.50

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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.