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Finding the Fourth Proportional to 72,148.90, 108,220.92 and 32,678.41

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Solution

The fourth proportional to 72,148.90, 108,220.92 and 32,678.41 is: 49,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,148.90 : 108,220.92 = 32,678.41 : x
  2. Step 2: Convert to fraction form
    72,148.90/108,220.92 = 32,678.41/x
  3. Step 3: Cross multiply
    72,148.90x = 108,220.92 × 32,678.41
  4. Step 4: Simplify right side
    72,148.90x = 3,536,487,594.34
  5. Step 5: Solve for x
    x = 3,536,487,594.34/72,148.90
  6. Step 6: Final answer
    x = 49,016.51

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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.