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Finding the Fourth Proportional to 221,698.20, 332,547.30 and 133,051.80

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Solution

The fourth proportional to 221,698.20, 332,547.30 and 133,051.80 is: 199,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.20 : 332,547.30 = 133,051.80 : x
  2. Step 2: Convert to fraction form
    221,698.20/332,547.30 = 133,051.80/x
  3. Step 3: Cross multiply
    221,698.20x = 332,547.30 × 133,051.80
  4. Step 4: Simplify right side
    221,698.20x = 44,246,016,850.14
  5. Step 5: Solve for x
    x = 44,246,016,850.14/221,698.20
  6. Step 6: Final answer
    x = 199,577.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.