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Finding the Fourth Proportional to 113,809.20, 170,713.80 and 107,977.20

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Solution

The fourth proportional to 113,809.20, 170,713.80 and 107,977.20 is: 161,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,809.20 : 170,713.80 = 107,977.20 : x
  2. Step 2: Convert to fraction form
    113,809.20/170,713.80 = 107,977.20/x
  3. Step 3: Cross multiply
    113,809.20x = 170,713.80 × 107,977.20
  4. Step 4: Simplify right side
    113,809.20x = 18,433,198,125.36
  5. Step 5: Solve for x
    x = 18,433,198,125.36/113,809.20
  6. Step 6: Final answer
    x = 161,965.80

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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.