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Finding the Fourth Proportional to 235,871.40, 353,288.70 and 142,213.80

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Solution

The fourth proportional to 235,871.40, 353,288.70 and 142,213.80 is: 213,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,871.40 : 353,288.70 = 142,213.80 : x
  2. Step 2: Convert to fraction form
    235,871.40/353,288.70 = 142,213.80/x
  3. Step 3: Cross multiply
    235,871.40x = 353,288.70 × 142,213.80
  4. Step 4: Simplify right side
    235,871.40x = 50,242,528,524.06
  5. Step 5: Solve for x
    x = 50,242,528,524.06/235,871.40
  6. Step 6: Final answer
    x = 213,008.14

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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.