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Finding the Fourth Proportional to 137,076.20, 205,541.40 and 58,101.20

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Solution

The fourth proportional to 137,076.20, 205,541.40 and 58,101.20 is: 87,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,076.20 : 205,541.40 = 58,101.20 : x
  2. Step 2: Convert to fraction form
    137,076.20/205,541.40 = 58,101.20/x
  3. Step 3: Cross multiply
    137,076.20x = 205,541.40 × 58,101.20
  4. Step 4: Simplify right side
    137,076.20x = 11,942,201,989.68
  5. Step 5: Solve for x
    x = 11,942,201,989.68/137,076.20
  6. Step 6: Final answer
    x = 87,120.90

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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.