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Finding the Fourth Proportional to 221,472.62, 305,632.22 and 120,870.62

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Solution

The fourth proportional to 221,472.62, 305,632.22 and 120,870.62 is: 166,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,472.62 : 305,632.22 = 120,870.62 : x
  2. Step 2: Convert to fraction form
    221,472.62/305,632.22 = 120,870.62/x
  3. Step 3: Cross multiply
    221,472.62x = 305,632.22 × 120,870.62
  4. Step 4: Simplify right side
    221,472.62x = 36,941,953,790.86
  5. Step 5: Solve for x
    x = 36,941,953,790.86/221,472.62
  6. Step 6: Final answer
    x = 166,801.45

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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.