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Finding the Fourth Proportional to 186,799, 257,782.64 and 119,731

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Solution

The fourth proportional to 186,799, 257,782.64 and 119,731 is: 165,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,799 : 257,782.64 = 119,731 : x
  2. Step 2: Convert to fraction form
    186,799/257,782.64 = 119,731/x
  3. Step 3: Cross multiply
    186,799x = 257,782.64 × 119,731
  4. Step 4: Simplify right side
    186,799x = 30,864,573,269.84
  5. Step 5: Solve for x
    x = 30,864,573,269.84/186,799
  6. Step 6: Final answer
    x = 165,228.79

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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.