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Finding the Fourth Proportional to 221,477.52, 305,634.64 and 120,876.24

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Solution

The fourth proportional to 221,477.52, 305,634.64 and 120,876.24 is: 166,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,477.52 : 305,634.64 = 120,876.24 : x
  2. Step 2: Convert to fraction form
    221,477.52/305,634.64 = 120,876.24/x
  3. Step 3: Cross multiply
    221,477.52x = 305,634.64 × 120,876.24
  4. Step 4: Simplify right side
    221,477.52x = 36,943,966,096.95
  5. Step 5: Solve for x
    x = 36,943,966,096.95/221,477.52
  6. Step 6: Final answer
    x = 166,806.84

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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.