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Finding the Fourth Proportional to 103,314.20, 154,679.70 and 100,398.20

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Solution

The fourth proportional to 103,314.20, 154,679.70 and 100,398.20 is: 150,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.20 : 154,679.70 = 100,398.20 : x
  2. Step 2: Convert to fraction form
    103,314.20/154,679.70 = 100,398.20/x
  3. Step 3: Cross multiply
    103,314.20x = 154,679.70 × 100,398.20
  4. Step 4: Simplify right side
    103,314.20x = 15,529,563,456.54
  5. Step 5: Solve for x
    x = 15,529,563,456.54/103,314.20
  6. Step 6: Final answer
    x = 150,313.93

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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.