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Finding the Fourth Proportional to 137,908.70, 206,863.05 and 102,916.70

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Solution

The fourth proportional to 137,908.70, 206,863.05 and 102,916.70 is: 154,375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.70 : 206,863.05 = 102,916.70 : x
  2. Step 2: Convert to fraction form
    137,908.70/206,863.05 = 102,916.70/x
  3. Step 3: Cross multiply
    137,908.70x = 206,863.05 × 102,916.70
  4. Step 4: Simplify right side
    137,908.70x = 21,289,662,457.94
  5. Step 5: Solve for x
    x = 21,289,662,457.94/137,908.70
  6. Step 6: Final answer
    x = 154,375.05

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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.