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Finding the Fourth Proportional to 142,200.54, 213,147.72 and 75,573.54

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Solution

The fourth proportional to 142,200.54, 213,147.72 and 75,573.54 is: 113,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200.54 : 213,147.72 = 75,573.54 : x
  2. Step 2: Convert to fraction form
    142,200.54/213,147.72 = 75,573.54/x
  3. Step 3: Cross multiply
    142,200.54x = 213,147.72 × 75,573.54
  4. Step 4: Simplify right side
    142,200.54x = 16,108,327,743.33
  5. Step 5: Solve for x
    x = 16,108,327,743.33/142,200.54
  6. Step 6: Final answer
    x = 113,278.95

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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.