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Finding the Fourth Proportional to 147,879.88, 221,907.66 and 54,451.24

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Solution

The fourth proportional to 147,879.88, 221,907.66 and 54,451.24 is: 81,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,879.88 : 221,907.66 = 54,451.24 : x
  2. Step 2: Convert to fraction form
    147,879.88/221,907.66 = 54,451.24/x
  3. Step 3: Cross multiply
    147,879.88x = 221,907.66 × 54,451.24
  4. Step 4: Simplify right side
    147,879.88x = 12,083,147,252.50
  5. Step 5: Solve for x
    x = 12,083,147,252.50/147,879.88
  6. Step 6: Final answer
    x = 81,709.20

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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.