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Finding the Fourth Proportional to 187,288, 280,932.27 and 76,480

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Solution

The fourth proportional to 187,288, 280,932.27 and 76,480 is: 114,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,288 : 280,932.27 = 76,480 : x
  2. Step 2: Convert to fraction form
    187,288/280,932.27 = 76,480/x
  3. Step 3: Cross multiply
    187,288x = 280,932.27 × 76,480
  4. Step 4: Simplify right side
    187,288x = 21,485,700,009.60
  5. Step 5: Solve for x
    x = 21,485,700,009.60/187,288
  6. Step 6: Final answer
    x = 114,720.11

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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.