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Finding the Fourth Proportional to 142,458.70, 213,688.05 and 80,121.10

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Solution

The fourth proportional to 142,458.70, 213,688.05 and 80,121.10 is: 120,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.70 : 213,688.05 = 80,121.10 : x
  2. Step 2: Convert to fraction form
    142,458.70/213,688.05 = 80,121.10/x
  3. Step 3: Cross multiply
    142,458.70x = 213,688.05 × 80,121.10
  4. Step 4: Simplify right side
    142,458.70x = 17,120,921,622.86
  5. Step 5: Solve for x
    x = 17,120,921,622.86/142,458.70
  6. Step 6: Final answer
    x = 120,181.65

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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.