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Finding the Fourth Proportional to 251,872.84, 347,565.33 and 142,964.34

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Solution

The fourth proportional to 251,872.84, 347,565.33 and 142,964.34 is: 197,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872.84 : 347,565.33 = 142,964.34 : x
  2. Step 2: Convert to fraction form
    251,872.84/347,565.33 = 142,964.34/x
  3. Step 3: Cross multiply
    251,872.84x = 347,565.33 × 142,964.34
  4. Step 4: Simplify right side
    251,872.84x = 49,689,448,662.02
  5. Step 5: Solve for x
    x = 49,689,448,662.02/251,872.84
  6. Step 6: Final answer
    x = 197,279.90

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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.