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Finding the Fourth Proportional to 147,651.64, 221,512.72 and 47,811.96

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Solution

The fourth proportional to 147,651.64, 221,512.72 and 47,811.96 is: 71,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,651.64 : 221,512.72 = 47,811.96 : x
  2. Step 2: Convert to fraction form
    147,651.64/221,512.72 = 47,811.96/x
  3. Step 3: Cross multiply
    147,651.64x = 221,512.72 × 47,811.96
  4. Step 4: Simplify right side
    147,651.64x = 10,590,957,308.13
  5. Step 5: Solve for x
    x = 10,590,957,308.13/147,651.64
  6. Step 6: Final answer
    x = 71,729.36

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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.