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Finding the Fourth Proportional to 142,431.40, 213,773.88 and 75,926.44

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Solution

The fourth proportional to 142,431.40, 213,773.88 and 75,926.44 is: 113,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.40 : 213,773.88 = 75,926.44 : x
  2. Step 2: Convert to fraction form
    142,431.40/213,773.88 = 75,926.44/x
  3. Step 3: Cross multiply
    142,431.40x = 213,773.88 × 75,926.44
  4. Step 4: Simplify right side
    142,431.40x = 16,231,089,673.39
  5. Step 5: Solve for x
    x = 16,231,089,673.39/142,431.40
  6. Step 6: Final answer
    x = 113,957.24

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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.