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Finding the Fourth Proportional to 205,124, 307,686 and 57,380

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Solution

The fourth proportional to 205,124, 307,686 and 57,380 is: 86,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124 : 307,686 = 57,380 : x
  2. Step 2: Convert to fraction form
    205,124/307,686 = 57,380/x
  3. Step 3: Cross multiply
    205,124x = 307,686 × 57,380
  4. Step 4: Simplify right side
    205,124x = 17,655,022,680
  5. Step 5: Solve for x
    x = 17,655,022,680/205,124
  6. Step 6: Final answer
    x = 86,070

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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.