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Finding the Fourth Proportional to 142,321.70, 213,318.20 and 53,518.56

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Solution

The fourth proportional to 142,321.70, 213,318.20 and 53,518.56 is: 80,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,321.70 : 213,318.20 = 53,518.56 : x
  2. Step 2: Convert to fraction form
    142,321.70/213,318.20 = 53,518.56/x
  3. Step 3: Cross multiply
    142,321.70x = 213,318.20 × 53,518.56
  4. Step 4: Simplify right side
    142,321.70x = 11,416,482,885.79
  5. Step 5: Solve for x
    x = 11,416,482,885.79/142,321.70
  6. Step 6: Final answer
    x = 80,216.04

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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.