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Finding the Fourth Proportional to 212,963.15, 319,806.28 and 142,339.62

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Solution

The fourth proportional to 212,963.15, 319,806.28 and 142,339.62 is: 213,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,963.15 : 319,806.28 = 142,339.62 : x
  2. Step 2: Convert to fraction form
    212,963.15/319,806.28 = 142,339.62/x
  3. Step 3: Cross multiply
    212,963.15x = 319,806.28 × 142,339.62
  4. Step 4: Simplify right side
    212,963.15x = 45,521,104,768.57
  5. Step 5: Solve for x
    x = 45,521,104,768.57/212,963.15
  6. Step 6: Final answer
    x = 213,751.09

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1.5x scale

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.