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Finding the Fourth Proportional to 187,408.50, 281,151.63 and 76,600.50

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Solution

The fourth proportional to 187,408.50, 281,151.63 and 76,600.50 is: 114,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408.50 : 281,151.63 = 76,600.50 : x
  2. Step 2: Convert to fraction form
    187,408.50/281,151.63 = 76,600.50/x
  3. Step 3: Cross multiply
    187,408.50x = 281,151.63 × 76,600.50
  4. Step 4: Simplify right side
    187,408.50x = 21,536,355,433.82
  5. Step 5: Solve for x
    x = 21,536,355,433.82/187,408.50
  6. Step 6: Final answer
    x = 114,916.64

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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.