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Finding the Fourth Proportional to 235,769.20, 353,653.80 and 142,457.20

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Solution

The fourth proportional to 235,769.20, 353,653.80 and 142,457.20 is: 213,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,769.20 : 353,653.80 = 142,457.20 : x
  2. Step 2: Convert to fraction form
    235,769.20/353,653.80 = 142,457.20/x
  3. Step 3: Cross multiply
    235,769.20x = 353,653.80 × 142,457.20
  4. Step 4: Simplify right side
    235,769.20x = 50,380,530,117.36
  5. Step 5: Solve for x
    x = 50,380,530,117.36/235,769.20
  6. Step 6: Final answer
    x = 213,685.80

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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.