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Finding the Fourth Proportional to 137,924.70, 206,887.05 and 54,818.70

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Solution

The fourth proportional to 137,924.70, 206,887.05 and 54,818.70 is: 82,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,924.70 : 206,887.05 = 54,818.70 : x
  2. Step 2: Convert to fraction form
    137,924.70/206,887.05 = 54,818.70/x
  3. Step 3: Cross multiply
    137,924.70x = 206,887.05 × 54,818.70
  4. Step 4: Simplify right side
    137,924.70x = 11,341,279,127.84
  5. Step 5: Solve for x
    x = 11,341,279,127.84/137,924.70
  6. Step 6: Final answer
    x = 82,228.05

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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.