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Finding the Fourth Proportional to 221,710.70, 332,566.05 and 133,064.30

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Solution

The fourth proportional to 221,710.70, 332,566.05 and 133,064.30 is: 199,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,710.70 : 332,566.05 = 133,064.30 : x
  2. Step 2: Convert to fraction form
    221,710.70/332,566.05 = 133,064.30/x
  3. Step 3: Cross multiply
    221,710.70x = 332,566.05 × 133,064.30
  4. Step 4: Simplify right side
    221,710.70x = 44,252,668,647.02
  5. Step 5: Solve for x
    x = 44,252,668,647.02/221,710.70
  6. Step 6: Final answer
    x = 199,596.45

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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.