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Finding the Fourth Proportional to 205,273, 307,926.78 and 57,529

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Solution

The fourth proportional to 205,273, 307,926.78 and 57,529 is: 86,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,273 : 307,926.78 = 57,529 : x
  2. Step 2: Convert to fraction form
    205,273/307,926.78 = 57,529/x
  3. Step 3: Cross multiply
    205,273x = 307,926.78 × 57,529
  4. Step 4: Simplify right side
    205,273x = 17,714,719,726.62
  5. Step 5: Solve for x
    x = 17,714,719,726.62/205,273
  6. Step 6: Final answer
    x = 86,298.34

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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.