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Finding the Fourth Proportional to 213,243.20, 319,865.20 and 55,471.40

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Solution

The fourth proportional to 213,243.20, 319,865.20 and 55,471.40 is: 83,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,243.20 : 319,865.20 = 55,471.40 : x
  2. Step 2: Convert to fraction form
    213,243.20/319,865.20 = 55,471.40/x
  3. Step 3: Cross multiply
    213,243.20x = 319,865.20 × 55,471.40
  4. Step 4: Simplify right side
    213,243.20x = 17,743,368,717.28
  5. Step 5: Solve for x
    x = 17,743,368,717.28/213,243.20
  6. Step 6: Final answer
    x = 83,207.20

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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.