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Finding the Fourth Proportional to 147,636, 221,454 and 47,879.64

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Solution

The fourth proportional to 147,636, 221,454 and 47,879.64 is: 71,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,636 : 221,454 = 47,879.64 : x
  2. Step 2: Convert to fraction form
    147,636/221,454 = 47,879.64/x
  3. Step 3: Cross multiply
    147,636x = 221,454 × 47,879.64
  4. Step 4: Simplify right side
    147,636x = 10,603,137,796.56
  5. Step 5: Solve for x
    x = 10,603,137,796.56/147,636
  6. Step 6: Final answer
    x = 71,819.46

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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.