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Finding the Fourth Proportional to 221,347.72, 305,459.20 and 120,745

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Solution

The fourth proportional to 221,347.72, 305,459.20 and 120,745 is: 166,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,347.72 : 305,459.20 = 120,745 : x
  2. Step 2: Convert to fraction form
    221,347.72/305,459.20 = 120,745/x
  3. Step 3: Cross multiply
    221,347.72x = 305,459.20 × 120,745
  4. Step 4: Simplify right side
    221,347.72x = 36,882,671,104
  5. Step 5: Solve for x
    x = 36,882,671,104/221,347.72
  6. Step 6: Final answer
    x = 166,627.74

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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.