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Finding the Fourth Proportional to 137,425.43, 206,128.37 and 42,653.32

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Solution

The fourth proportional to 137,425.43, 206,128.37 and 42,653.32 is: 63,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,425.43 : 206,128.37 = 42,653.32 : x
  2. Step 2: Convert to fraction form
    137,425.43/206,128.37 = 42,653.32/x
  3. Step 3: Cross multiply
    137,425.43x = 206,128.37 × 42,653.32
  4. Step 4: Simplify right side
    137,425.43x = 8,792,058,918.00
  5. Step 5: Solve for x
    x = 8,792,058,918.00/137,425.43
  6. Step 6: Final answer
    x = 63,976.94

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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.