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Finding the Fourth Proportional to 187,286.25, 280,929.65 and 76,478.25

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Solution

The fourth proportional to 187,286.25, 280,929.65 and 76,478.25 is: 114,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,286.25 : 280,929.65 = 76,478.25 : x
  2. Step 2: Convert to fraction form
    187,286.25/280,929.65 = 76,478.25/x
  3. Step 3: Cross multiply
    187,286.25x = 280,929.65 × 76,478.25
  4. Step 4: Simplify right side
    187,286.25x = 21,485,007,622.72
  5. Step 5: Solve for x
    x = 21,485,007,622.72/187,286.25
  6. Step 6: Final answer
    x = 114,717.49

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1.5x scale

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.