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Finding the Fourth Proportional to 142,408.70, 213,625.20 and 37,227.50

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Solution

The fourth proportional to 142,408.70, 213,625.20 and 37,227.50 is: 55,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408.70 : 213,625.20 = 37,227.50 : x
  2. Step 2: Convert to fraction form
    142,408.70/213,625.20 = 37,227.50/x
  3. Step 3: Cross multiply
    142,408.70x = 213,625.20 × 37,227.50
  4. Step 4: Simplify right side
    142,408.70x = 7,952,732,133
  5. Step 5: Solve for x
    x = 7,952,732,133/142,408.70
  6. Step 6: Final answer
    x = 55,844.43

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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.