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Finding the Fourth Proportional to 147,449.78, 221,174.61 and 36,641.78

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Solution

The fourth proportional to 147,449.78, 221,174.61 and 36,641.78 is: 54,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,449.78 : 221,174.61 = 36,641.78 : x
  2. Step 2: Convert to fraction form
    147,449.78/221,174.61 = 36,641.78/x
  3. Step 3: Cross multiply
    147,449.78x = 221,174.61 × 36,641.78
  4. Step 4: Simplify right side
    147,449.78x = 8,104,231,401.21
  5. Step 5: Solve for x
    x = 8,104,231,401.21/147,449.78
  6. Step 6: Final answer
    x = 54,962.66

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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.