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Finding the Fourth Proportional to 142,773.95, 214,161.41 and 36,157.87

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Solution

The fourth proportional to 142,773.95, 214,161.41 and 36,157.87 is: 54,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,773.95 : 214,161.41 = 36,157.87 : x
  2. Step 2: Convert to fraction form
    142,773.95/214,161.41 = 36,157.87/x
  3. Step 3: Cross multiply
    142,773.95x = 214,161.41 × 36,157.87
  4. Step 4: Simplify right side
    142,773.95x = 7,743,620,421.80
  5. Step 5: Solve for x
    x = 7,743,620,421.80/142,773.95
  6. Step 6: Final answer
    x = 54,236.93

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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.