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Finding the Fourth Proportional to 212,951.10, 319,426.65 and 156,963.90

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Solution

The fourth proportional to 212,951.10, 319,426.65 and 156,963.90 is: 235,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.10 : 319,426.65 = 156,963.90 : x
  2. Step 2: Convert to fraction form
    212,951.10/319,426.65 = 156,963.90/x
  3. Step 3: Cross multiply
    212,951.10x = 319,426.65 × 156,963.90
  4. Step 4: Simplify right side
    212,951.10x = 50,138,452,747.94
  5. Step 5: Solve for x
    x = 50,138,452,747.94/212,951.10
  6. Step 6: Final answer
    x = 235,445.85

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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.