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Finding the Fourth Proportional to 142,458.20, 213,840.90 and 80,250.20

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Solution

The fourth proportional to 142,458.20, 213,840.90 and 80,250.20 is: 120,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.20 : 213,840.90 = 80,250.20 : x
  2. Step 2: Convert to fraction form
    142,458.20/213,840.90 = 80,250.20/x
  3. Step 3: Cross multiply
    142,458.20x = 213,840.90 × 80,250.20
  4. Step 4: Simplify right side
    142,458.20x = 17,160,774,993.18
  5. Step 5: Solve for x
    x = 17,160,774,993.18/142,458.20
  6. Step 6: Final answer
    x = 120,461.83

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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.