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Finding the Fourth Proportional to 71,342.78, 106,915.75 and 53,793.32

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Solution

The fourth proportional to 71,342.78, 106,915.75 and 53,793.32 is: 80,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.78 : 106,915.75 = 53,793.32 : x
  2. Step 2: Convert to fraction form
    71,342.78/106,915.75 = 53,793.32/x
  3. Step 3: Cross multiply
    71,342.78x = 106,915.75 × 53,793.32
  4. Step 4: Simplify right side
    71,342.78x = 5,751,352,483.73
  5. Step 5: Solve for x
    x = 5,751,352,483.73/71,342.78
  6. Step 6: Final answer
    x = 80,615.77

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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.