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Finding the Fourth Proportional to 138,145.33, 190,640.25 and 77,716

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Solution

The fourth proportional to 138,145.33, 190,640.25 and 77,716 is: 107,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,145.33 : 190,640.25 = 77,716 : x
  2. Step 2: Convert to fraction form
    138,145.33/190,640.25 = 77,716/x
  3. Step 3: Cross multiply
    138,145.33x = 190,640.25 × 77,716
  4. Step 4: Simplify right side
    138,145.33x = 14,815,797,669
  5. Step 5: Solve for x
    x = 14,815,797,669/138,145.33
  6. Step 6: Final answer
    x = 107,247.91

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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.