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Finding the Fourth Proportional to 221,497.20, 305,661.60 and 120,895.20

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Solution

The fourth proportional to 221,497.20, 305,661.60 and 120,895.20 is: 166,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,497.20 : 305,661.60 = 120,895.20 : x
  2. Step 2: Convert to fraction form
    221,497.20/305,661.60 = 120,895.20/x
  3. Step 3: Cross multiply
    221,497.20x = 305,661.60 × 120,895.20
  4. Step 4: Simplify right side
    221,497.20x = 36,953,020,264.32
  5. Step 5: Solve for x
    x = 36,953,020,264.32/221,497.20
  6. Step 6: Final answer
    x = 166,832.90

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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.