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Finding the Fourth Proportional to 213,537.56, 320,306.40 and 55,764.66

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Solution

The fourth proportional to 213,537.56, 320,306.40 and 55,764.66 is: 83,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,537.56 : 320,306.40 = 55,764.66 : x
  2. Step 2: Convert to fraction form
    213,537.56/320,306.40 = 55,764.66/x
  3. Step 3: Cross multiply
    213,537.56x = 320,306.40 × 55,764.66
  4. Step 4: Simplify right side
    213,537.56x = 17,861,777,491.82
  5. Step 5: Solve for x
    x = 17,861,777,491.82/213,537.56
  6. Step 6: Final answer
    x = 83,647.01

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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.