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Finding the Fourth Proportional to 220,898.70, 331,520.85 and 102,584.70

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Solution

The fourth proportional to 220,898.70, 331,520.85 and 102,584.70 is: 153,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,898.70 : 331,520.85 = 102,584.70 : x
  2. Step 2: Convert to fraction form
    220,898.70/331,520.85 = 102,584.70/x
  3. Step 3: Cross multiply
    220,898.70x = 331,520.85 × 102,584.70
  4. Step 4: Simplify right side
    220,898.70x = 34,008,966,941.00
  5. Step 5: Solve for x
    x = 34,008,966,941.00/220,898.70
  6. Step 6: Final answer
    x = 153,957.30

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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.