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Finding the Fourth Proportional to 221,540.32, 305,697.63 and 126,048.61

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Solution

The fourth proportional to 221,540.32, 305,697.63 and 126,048.61 is: 173,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540.32 : 305,697.63 = 126,048.61 : x
  2. Step 2: Convert to fraction form
    221,540.32/305,697.63 = 126,048.61/x
  3. Step 3: Cross multiply
    221,540.32x = 305,697.63 × 126,048.61
  4. Step 4: Simplify right side
    221,540.32x = 38,532,761,341.79
  5. Step 5: Solve for x
    x = 38,532,761,341.79/221,540.32
  6. Step 6: Final answer
    x = 173,931.14

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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.