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Finding the Fourth Proportional to 186,974, 280,461 and 55,646

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Solution

The fourth proportional to 186,974, 280,461 and 55,646 is: 83,469

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,974 : 280,461 = 55,646 : x
  2. Step 2: Convert to fraction form
    186,974/280,461 = 55,646/x
  3. Step 3: Cross multiply
    186,974x = 280,461 × 55,646
  4. Step 4: Simplify right side
    186,974x = 15,606,532,806
  5. Step 5: Solve for x
    x = 15,606,532,806/186,974
  6. Step 6: Final answer
    x = 83,469

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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.