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Finding the Fourth Proportional to 138,068.50, 206,838.90 and 115,722.22

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Solution

The fourth proportional to 138,068.50, 206,838.90 and 115,722.22 is: 173,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,068.50 : 206,838.90 = 115,722.22 : x
  2. Step 2: Convert to fraction form
    138,068.50/206,838.90 = 115,722.22/x
  3. Step 3: Cross multiply
    138,068.50x = 206,838.90 × 115,722.22
  4. Step 4: Simplify right side
    138,068.50x = 23,935,856,690.36
  5. Step 5: Solve for x
    x = 23,935,856,690.36/138,068.50
  6. Step 6: Final answer
    x = 173,362.18

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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.