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Finding the Fourth Proportional to 142,234.16, 213,485.16 and 72,163.76

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Solution

The fourth proportional to 142,234.16, 213,485.16 and 72,163.76 is: 108,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,234.16 : 213,485.16 = 72,163.76 : x
  2. Step 2: Convert to fraction form
    142,234.16/213,485.16 = 72,163.76/x
  3. Step 3: Cross multiply
    142,234.16x = 213,485.16 × 72,163.76
  4. Step 4: Simplify right side
    142,234.16x = 15,405,891,849.80
  5. Step 5: Solve for x
    x = 15,405,891,849.80/142,234.16
  6. Step 6: Final answer
    x = 108,313.59

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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.