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Finding the Fourth Proportional to 213,138.44, 319,700.10 and 53,215.28

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Solution

The fourth proportional to 213,138.44, 319,700.10 and 53,215.28 is: 79,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138.44 : 319,700.10 = 53,215.28 : x
  2. Step 2: Convert to fraction form
    213,138.44/319,700.10 = 53,215.28/x
  3. Step 3: Cross multiply
    213,138.44x = 319,700.10 × 53,215.28
  4. Step 4: Simplify right side
    213,138.44x = 17,012,930,337.53
  5. Step 5: Solve for x
    x = 17,012,930,337.53/213,138.44
  6. Step 6: Final answer
    x = 79,821.03

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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.