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Finding the Fourth Proportional to 137,072.40, 205,301.40 and 81,776.40

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Solution

The fourth proportional to 137,072.40, 205,301.40 and 81,776.40 is: 122,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.40 : 205,301.40 = 81,776.40 : x
  2. Step 2: Convert to fraction form
    137,072.40/205,301.40 = 81,776.40/x
  3. Step 3: Cross multiply
    137,072.40x = 205,301.40 × 81,776.40
  4. Step 4: Simplify right side
    137,072.40x = 16,788,809,406.96
  5. Step 5: Solve for x
    x = 16,788,809,406.96/137,072.40
  6. Step 6: Final answer
    x = 122,481.33

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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.