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Finding the Fourth Proportional to 137,622.53, 206,384.22 and 47,640.80

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Solution

The fourth proportional to 137,622.53, 206,384.22 and 47,640.80 is: 71,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,622.53 : 206,384.22 = 47,640.80 : x
  2. Step 2: Convert to fraction form
    137,622.53/206,384.22 = 47,640.80/x
  3. Step 3: Cross multiply
    137,622.53x = 206,384.22 × 47,640.80
  4. Step 4: Simplify right side
    137,622.53x = 9,832,308,316.25
  5. Step 5: Solve for x
    x = 9,832,308,316.25/137,622.53
  6. Step 6: Final answer
    x = 71,444.03

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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.