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Finding the Fourth Proportional to 213,903.59, 294,972.86 and 142,286.63

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Solution

The fourth proportional to 213,903.59, 294,972.86 and 142,286.63 is: 196,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903.59 : 294,972.86 = 142,286.63 : x
  2. Step 2: Convert to fraction form
    213,903.59/294,972.86 = 142,286.63/x
  3. Step 3: Cross multiply
    213,903.59x = 294,972.86 × 142,286.63
  4. Step 4: Simplify right side
    213,903.59x = 41,970,693,479.43
  5. Step 5: Solve for x
    x = 41,970,693,479.43/213,903.59
  6. Step 6: Final answer
    x = 196,213.13

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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.