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Finding the Fourth Proportional to 212,749.80, 319,124.70 and 146,394.60

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Solution

The fourth proportional to 212,749.80, 319,124.70 and 146,394.60 is: 219,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,749.80 : 319,124.70 = 146,394.60 : x
  2. Step 2: Convert to fraction form
    212,749.80/319,124.70 = 146,394.60/x
  3. Step 3: Cross multiply
    212,749.80x = 319,124.70 × 146,394.60
  4. Step 4: Simplify right side
    212,749.80x = 46,718,132,806.62
  5. Step 5: Solve for x
    x = 46,718,132,806.62/212,749.80
  6. Step 6: Final answer
    x = 219,591.90

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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.