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Finding the Fourth Proportional to 221,658.44, 305,889 and 126,165.14

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Solution

The fourth proportional to 221,658.44, 305,889 and 126,165.14 is: 174,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,658.44 : 305,889 = 126,165.14 : x
  2. Step 2: Convert to fraction form
    221,658.44/305,889 = 126,165.14/x
  3. Step 3: Cross multiply
    221,658.44x = 305,889 × 126,165.14
  4. Step 4: Simplify right side
    221,658.44x = 38,592,529,274.18
  5. Step 5: Solve for x
    x = 38,592,529,274.18/221,658.44
  6. Step 6: Final answer
    x = 174,108.10

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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.