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Finding the Fourth Proportional to 109,694.20, 153,921.80 and 109,694.20

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Solution

The fourth proportional to 109,694.20, 153,921.80 and 109,694.20 is: 153,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694.20 : 153,921.80 = 109,694.20 : x
  2. Step 2: Convert to fraction form
    109,694.20/153,921.80 = 109,694.20/x
  3. Step 3: Cross multiply
    109,694.20x = 153,921.80 × 109,694.20
  4. Step 4: Simplify right side
    109,694.20x = 16,884,328,713.56
  5. Step 5: Solve for x
    x = 16,884,328,713.56/109,694.20
  6. Step 6: Final answer
    x = 153,921.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.