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Finding the Fourth Proportional to 205,857.56, 308,743.05 and 58,079

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Solution

The fourth proportional to 205,857.56, 308,743.05 and 58,079 is: 87,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,857.56 : 308,743.05 = 58,079 : x
  2. Step 2: Convert to fraction form
    205,857.56/308,743.05 = 58,079/x
  3. Step 3: Cross multiply
    205,857.56x = 308,743.05 × 58,079
  4. Step 4: Simplify right side
    205,857.56x = 17,931,487,600.95
  5. Step 5: Solve for x
    x = 17,931,487,600.95/205,857.56
  6. Step 6: Final answer
    x = 87,106.29

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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.