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Finding the Fourth Proportional to 103,214.70, 154,834.20 and 36,640.80

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Solution

The fourth proportional to 103,214.70, 154,834.20 and 36,640.80 is: 54,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.70 : 154,834.20 = 36,640.80 : x
  2. Step 2: Convert to fraction form
    103,214.70/154,834.20 = 36,640.80/x
  3. Step 3: Cross multiply
    103,214.70x = 154,834.20 × 36,640.80
  4. Step 4: Simplify right side
    103,214.70x = 5,673,248,955.36
  5. Step 5: Solve for x
    x = 5,673,248,955.36/103,214.70
  6. Step 6: Final answer
    x = 54,965.51

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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.