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Finding the Fourth Proportional to 103,218.57, 154,821.27 and 36,649.92

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Solution

The fourth proportional to 103,218.57, 154,821.27 and 36,649.92 is: 54,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.57 : 154,821.27 = 36,649.92 : x
  2. Step 2: Convert to fraction form
    103,218.57/154,821.27 = 36,649.92/x
  3. Step 3: Cross multiply
    103,218.57x = 154,821.27 × 36,649.92
  4. Step 4: Simplify right side
    103,218.57x = 5,674,187,159.80
  5. Step 5: Solve for x
    x = 5,674,187,159.80/103,218.57
  6. Step 6: Final answer
    x = 54,972.54

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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.