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Finding the Fourth Proportional to 213,903.84, 294,973.20 and 142,286.88

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Solution

The fourth proportional to 213,903.84, 294,973.20 and 142,286.88 is: 196,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903.84 : 294,973.20 = 142,286.88 : x
  2. Step 2: Convert to fraction form
    213,903.84/294,973.20 = 142,286.88/x
  3. Step 3: Cross multiply
    213,903.84x = 294,973.20 × 142,286.88
  4. Step 4: Simplify right side
    213,903.84x = 41,970,816,311.62
  5. Step 5: Solve for x
    x = 41,970,816,311.62/213,903.84
  6. Step 6: Final answer
    x = 196,213.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.