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Finding the Fourth Proportional to 213,315.80, 319,887.30 and 73,002.20

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Solution

The fourth proportional to 213,315.80, 319,887.30 and 73,002.20 is: 109,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,315.80 : 319,887.30 = 73,002.20 : x
  2. Step 2: Convert to fraction form
    213,315.80/319,887.30 = 73,002.20/x
  3. Step 3: Cross multiply
    213,315.80x = 319,887.30 × 73,002.20
  4. Step 4: Simplify right side
    213,315.80x = 23,352,476,652.06
  5. Step 5: Solve for x
    x = 23,352,476,652.06/213,315.80
  6. Step 6: Final answer
    x = 109,473.73

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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.