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Finding the Fourth Proportional to 137,279.10, 205,918.65 and 106,136.70

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Solution

The fourth proportional to 137,279.10, 205,918.65 and 106,136.70 is: 159,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,279.10 : 205,918.65 = 106,136.70 : x
  2. Step 2: Convert to fraction form
    137,279.10/205,918.65 = 106,136.70/x
  3. Step 3: Cross multiply
    137,279.10x = 205,918.65 × 106,136.70
  4. Step 4: Simplify right side
    137,279.10x = 21,855,525,979.46
  5. Step 5: Solve for x
    x = 21,855,525,979.46/137,279.10
  6. Step 6: Final answer
    x = 159,205.05

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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.