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Finding the Fourth Proportional to 101,154.64, 151,780.56 and 54,401.44

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Solution

The fourth proportional to 101,154.64, 151,780.56 and 54,401.44 is: 81,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,154.64 : 151,780.56 = 54,401.44 : x
  2. Step 2: Convert to fraction form
    101,154.64/151,780.56 = 54,401.44/x
  3. Step 3: Cross multiply
    101,154.64x = 151,780.56 × 54,401.44
  4. Step 4: Simplify right side
    101,154.64x = 8,257,081,028.01
  5. Step 5: Solve for x
    x = 8,257,081,028.01/101,154.64
  6. Step 6: Final answer
    x = 81,628.30

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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.