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Finding the Fourth Proportional to 221,529.30, 305,710.86 and 120,927.30

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Solution

The fourth proportional to 221,529.30, 305,710.86 and 120,927.30 is: 166,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,529.30 : 305,710.86 = 120,927.30 : x
  2. Step 2: Convert to fraction form
    221,529.30/305,710.86 = 120,927.30/x
  3. Step 3: Cross multiply
    221,529.30x = 305,710.86 × 120,927.30
  4. Step 4: Simplify right side
    221,529.30x = 36,968,788,880.48
  5. Step 5: Solve for x
    x = 36,968,788,880.48/221,529.30
  6. Step 6: Final answer
    x = 166,879.91

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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.