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Finding the Fourth Proportional to 137,220.70, 205,831.05 and 54,103.90

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Solution

The fourth proportional to 137,220.70, 205,831.05 and 54,103.90 is: 81,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220.70 : 205,831.05 = 54,103.90 : x
  2. Step 2: Convert to fraction form
    137,220.70/205,831.05 = 54,103.90/x
  3. Step 3: Cross multiply
    137,220.70x = 205,831.05 × 54,103.90
  4. Step 4: Simplify right side
    137,220.70x = 11,136,262,546.10
  5. Step 5: Solve for x
    x = 11,136,262,546.10/137,220.70
  6. Step 6: Final answer
    x = 81,155.85

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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.