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Finding the Fourth Proportional to 137,885.49, 206,653.28 and 71,313.21

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Solution

The fourth proportional to 137,885.49, 206,653.28 and 71,313.21 is: 106,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,885.49 : 206,653.28 = 71,313.21 : x
  2. Step 2: Convert to fraction form
    137,885.49/206,653.28 = 71,313.21/x
  3. Step 3: Cross multiply
    137,885.49x = 206,653.28 × 71,313.21
  4. Step 4: Simplify right side
    137,885.49x = 14,737,108,397.26
  5. Step 5: Solve for x
    x = 14,737,108,397.26/137,885.49
  6. Step 6: Final answer
    x = 106,879.33

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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.