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Finding the Fourth Proportional to 253,649.91, 349,868.46 and 163,120.42

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Solution

The fourth proportional to 253,649.91, 349,868.46 and 163,120.42 is: 224,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,649.91 : 349,868.46 = 163,120.42 : x
  2. Step 2: Convert to fraction form
    253,649.91/349,868.46 = 163,120.42/x
  3. Step 3: Cross multiply
    253,649.91x = 349,868.46 × 163,120.42
  4. Step 4: Simplify right side
    253,649.91x = 57,070,690,139.95
  5. Step 5: Solve for x
    x = 57,070,690,139.95/253,649.91
  6. Step 6: Final answer
    x = 224,997.87

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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.