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Finding the Fourth Proportional to 142,396.56, 213,627.24 and 75,801.60

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Solution

The fourth proportional to 142,396.56, 213,627.24 and 75,801.60 is: 113,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,396.56 : 213,627.24 = 75,801.60 : x
  2. Step 2: Convert to fraction form
    142,396.56/213,627.24 = 75,801.60/x
  3. Step 3: Cross multiply
    142,396.56x = 213,627.24 × 75,801.60
  4. Step 4: Simplify right side
    142,396.56x = 16,193,286,595.58
  5. Step 5: Solve for x
    x = 16,193,286,595.58/142,396.56
  6. Step 6: Final answer
    x = 113,719.65

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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.