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Finding the Fourth Proportional to 146,491.80, 219,737.70 and 139,234.20

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Solution

The fourth proportional to 146,491.80, 219,737.70 and 139,234.20 is: 208,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,491.80 : 219,737.70 = 139,234.20 : x
  2. Step 2: Convert to fraction form
    146,491.80/219,737.70 = 139,234.20/x
  3. Step 3: Cross multiply
    146,491.80x = 219,737.70 × 139,234.20
  4. Step 4: Simplify right side
    146,491.80x = 30,595,002,869.34
  5. Step 5: Solve for x
    x = 30,595,002,869.34/146,491.80
  6. Step 6: Final answer
    x = 208,851.30

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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.