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Finding the Fourth Proportional to 205,516, 308,274 and 57,772

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Solution

The fourth proportional to 205,516, 308,274 and 57,772 is: 86,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,516 : 308,274 = 57,772 : x
  2. Step 2: Convert to fraction form
    205,516/308,274 = 57,772/x
  3. Step 3: Cross multiply
    205,516x = 308,274 × 57,772
  4. Step 4: Simplify right side
    205,516x = 17,809,605,528
  5. Step 5: Solve for x
    x = 17,809,605,528/205,516
  6. Step 6: Final answer
    x = 86,658

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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.