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Finding the Fourth Proportional to 147,442.78, 221,164.32 and 36,634.78

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Solution

The fourth proportional to 147,442.78, 221,164.32 and 36,634.78 is: 54,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.78 : 221,164.32 = 36,634.78 : x
  2. Step 2: Convert to fraction form
    147,442.78/221,164.32 = 36,634.78/x
  3. Step 3: Cross multiply
    147,442.78x = 221,164.32 × 36,634.78
  4. Step 4: Simplify right side
    147,442.78x = 8,102,306,620.89
  5. Step 5: Solve for x
    x = 8,102,306,620.89/147,442.78
  6. Step 6: Final answer
    x = 54,952.21

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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.