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Finding the Fourth Proportional to 147,310.40, 221,042.40 and 64,212.80

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Solution

The fourth proportional to 147,310.40, 221,042.40 and 64,212.80 is: 96,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,310.40 : 221,042.40 = 64,212.80 : x
  2. Step 2: Convert to fraction form
    147,310.40/221,042.40 = 64,212.80/x
  3. Step 3: Cross multiply
    147,310.40x = 221,042.40 × 64,212.80
  4. Step 4: Simplify right side
    147,310.40x = 14,193,751,422.72
  5. Step 5: Solve for x
    x = 14,193,751,422.72/147,310.40
  6. Step 6: Final answer
    x = 96,352.68

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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.