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Finding the Fourth Proportional to 186,992.64, 280,512 and 76,170.24

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Solution

The fourth proportional to 186,992.64, 280,512 and 76,170.24 is: 114,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,992.64 : 280,512 = 76,170.24 : x
  2. Step 2: Convert to fraction form
    186,992.64/280,512 = 76,170.24/x
  3. Step 3: Cross multiply
    186,992.64x = 280,512 × 76,170.24
  4. Step 4: Simplify right side
    186,992.64x = 21,366,666,362.88
  5. Step 5: Solve for x
    x = 21,366,666,362.88/186,992.64
  6. Step 6: Final answer
    x = 114,264.75

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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.