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Finding the Fourth Proportional to 187,297.88, 280,947.08 and 76,489.88

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Solution

The fourth proportional to 187,297.88, 280,947.08 and 76,489.88 is: 114,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,297.88 : 280,947.08 = 76,489.88 : x
  2. Step 2: Convert to fraction form
    187,297.88/280,947.08 = 76,489.88/x
  3. Step 3: Cross multiply
    187,297.88x = 280,947.08 × 76,489.88
  4. Step 4: Simplify right side
    187,297.88x = 21,489,607,222.04
  5. Step 5: Solve for x
    x = 21,489,607,222.04/187,297.88
  6. Step 6: Final answer
    x = 114,734.92

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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.