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Finding the Fourth Proportional to 137,519.65, 205,338.65 and 123,195.70

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Solution

The fourth proportional to 137,519.65, 205,338.65 and 123,195.70 is: 183,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,519.65 : 205,338.65 = 123,195.70 : x
  2. Step 2: Convert to fraction form
    137,519.65/205,338.65 = 123,195.70/x
  3. Step 3: Cross multiply
    137,519.65x = 205,338.65 × 123,195.70
  4. Step 4: Simplify right side
    137,519.65x = 25,296,838,723.81
  5. Step 5: Solve for x
    x = 25,296,838,723.81/137,519.65
  6. Step 6: Final answer
    x = 183,950.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.