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Finding the Fourth Proportional to 213,142.20, 319,713.30 and 149,551.80

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Solution

The fourth proportional to 213,142.20, 319,713.30 and 149,551.80 is: 224,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,142.20 : 319,713.30 = 149,551.80 : x
  2. Step 2: Convert to fraction form
    213,142.20/319,713.30 = 149,551.80/x
  3. Step 3: Cross multiply
    213,142.20x = 319,713.30 × 149,551.80
  4. Step 4: Simplify right side
    213,142.20x = 47,813,699,498.94
  5. Step 5: Solve for x
    x = 47,813,699,498.94/213,142.20
  6. Step 6: Final answer
    x = 224,327.70

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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.