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Finding the Fourth Proportional to 221,391.92, 305,521.80 and 120,792.08

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Solution

The fourth proportional to 221,391.92, 305,521.80 and 120,792.08 is: 166,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,391.92 : 305,521.80 = 120,792.08 : x
  2. Step 2: Convert to fraction form
    221,391.92/305,521.80 = 120,792.08/x
  3. Step 3: Cross multiply
    221,391.92x = 305,521.80 × 120,792.08
  4. Step 4: Simplify right side
    221,391.92x = 36,904,613,707.34
  5. Step 5: Solve for x
    x = 36,904,613,707.34/221,391.92
  6. Step 6: Final answer
    x = 166,693.59

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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.