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Finding the Fourth Proportional to 213,203.62, 319,972.62 and 148,742.56

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Solution

The fourth proportional to 213,203.62, 319,972.62 and 148,742.56 is: 223,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.62 : 319,972.62 = 148,742.56 : x
  2. Step 2: Convert to fraction form
    213,203.62/319,972.62 = 148,742.56/x
  3. Step 3: Cross multiply
    213,203.62x = 319,972.62 × 148,742.56
  4. Step 4: Simplify right side
    213,203.62x = 47,593,546,628.71
  5. Step 5: Solve for x
    x = 47,593,546,628.71/213,203.62
  6. Step 6: Final answer
    x = 223,230.48

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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.