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Finding the Fourth Proportional to 147,415.20, 221,074.20 and 53,908.80

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Solution

The fourth proportional to 147,415.20, 221,074.20 and 53,908.80 is: 80,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,415.20 : 221,074.20 = 53,908.80 : x
  2. Step 2: Convert to fraction form
    147,415.20/221,074.20 = 53,908.80/x
  3. Step 3: Cross multiply
    147,415.20x = 221,074.20 × 53,908.80
  4. Step 4: Simplify right side
    147,415.20x = 11,917,844,832.96
  5. Step 5: Solve for x
    x = 11,917,844,832.96/147,415.20
  6. Step 6: Final answer
    x = 80,845.43

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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.