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Finding the Fourth Proportional to 221,345.50, 305,456.80 and 120,743.50

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Solution

The fourth proportional to 221,345.50, 305,456.80 and 120,743.50 is: 166,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,345.50 : 305,456.80 = 120,743.50 : x
  2. Step 2: Convert to fraction form
    221,345.50/305,456.80 = 120,743.50/x
  3. Step 3: Cross multiply
    221,345.50x = 305,456.80 × 120,743.50
  4. Step 4: Simplify right side
    221,345.50x = 36,881,923,130.80
  5. Step 5: Solve for x
    x = 36,881,923,130.80/221,345.50
  6. Step 6: Final answer
    x = 166,626.04

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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.