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Finding the Fourth Proportional to 150,081, 207,118.26 and 83,013

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Solution

The fourth proportional to 150,081, 207,118.26 and 83,013 is: 114,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,081 : 207,118.26 = 83,013 : x
  2. Step 2: Convert to fraction form
    150,081/207,118.26 = 83,013/x
  3. Step 3: Cross multiply
    150,081x = 207,118.26 × 83,013
  4. Step 4: Simplify right side
    150,081x = 17,193,508,117.38
  5. Step 5: Solve for x
    x = 17,193,508,117.38/150,081
  6. Step 6: Final answer
    x = 114,561.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.