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Finding the Fourth Proportional to 140,491.44, 210,825 and 57,385.44

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Solution

The fourth proportional to 140,491.44, 210,825 and 57,385.44 is: 86,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,491.44 : 210,825 = 57,385.44 : x
  2. Step 2: Convert to fraction form
    140,491.44/210,825 = 57,385.44/x
  3. Step 3: Cross multiply
    140,491.44x = 210,825 × 57,385.44
  4. Step 4: Simplify right side
    140,491.44x = 12,098,285,388
  5. Step 5: Solve for x
    x = 12,098,285,388/140,491.44
  6. Step 6: Final answer
    x = 86,114.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.