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Finding the Fourth Proportional to 235,904.20, 353,856.30 and 142,361.80

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Solution

The fourth proportional to 235,904.20, 353,856.30 and 142,361.80 is: 213,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,904.20 : 353,856.30 = 142,361.80 : x
  2. Step 2: Convert to fraction form
    235,904.20/353,856.30 = 142,361.80/x
  3. Step 3: Cross multiply
    235,904.20x = 353,856.30 × 142,361.80
  4. Step 4: Simplify right side
    235,904.20x = 50,375,619,809.34
  5. Step 5: Solve for x
    x = 50,375,619,809.34/235,904.20
  6. Step 6: Final answer
    x = 213,542.70

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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.