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Finding the Fourth Proportional to 186,828, 257,822.64 and 119,760

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Solution

The fourth proportional to 186,828, 257,822.64 and 119,760 is: 165,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,828 : 257,822.64 = 119,760 : x
  2. Step 2: Convert to fraction form
    186,828/257,822.64 = 119,760/x
  3. Step 3: Cross multiply
    186,828x = 257,822.64 × 119,760
  4. Step 4: Simplify right side
    186,828x = 30,876,839,366.40
  5. Step 5: Solve for x
    x = 30,876,839,366.40/186,828
  6. Step 6: Final answer
    x = 165,268.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.