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Finding the Fourth Proportional to 205,057.30, 307,629.15 and 86,667.70

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Solution

The fourth proportional to 205,057.30, 307,629.15 and 86,667.70 is: 130,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.30 : 307,629.15 = 86,667.70 : x
  2. Step 2: Convert to fraction form
    205,057.30/307,629.15 = 86,667.70/x
  3. Step 3: Cross multiply
    205,057.30x = 307,629.15 × 86,667.70
  4. Step 4: Simplify right side
    205,057.30x = 26,661,510,883.46
  5. Step 5: Solve for x
    x = 26,661,510,883.46/205,057.30
  6. Step 6: Final answer
    x = 130,019.81

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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.