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Finding the Fourth Proportional to 235,856.40, 353,266.20 and 142,198.80

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Solution

The fourth proportional to 235,856.40, 353,266.20 and 142,198.80 is: 212,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,856.40 : 353,266.20 = 142,198.80 : x
  2. Step 2: Convert to fraction form
    235,856.40/353,266.20 = 142,198.80/x
  3. Step 3: Cross multiply
    235,856.40x = 353,266.20 × 142,198.80
  4. Step 4: Simplify right side
    235,856.40x = 50,234,029,720.56
  5. Step 5: Solve for x
    x = 50,234,029,720.56/235,856.40
  6. Step 6: Final answer
    x = 212,985.65

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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.