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Finding the Fourth Proportional to 213,206.67, 319,771.53 and 55,425.42

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Solution

The fourth proportional to 213,206.67, 319,771.53 and 55,425.42 is: 83,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,206.67 : 319,771.53 = 55,425.42 : x
  2. Step 2: Convert to fraction form
    213,206.67/319,771.53 = 55,425.42/x
  3. Step 3: Cross multiply
    213,206.67x = 319,771.53 × 55,425.42
  4. Step 4: Simplify right side
    213,206.67x = 17,723,471,354.29
  5. Step 5: Solve for x
    x = 17,723,471,354.29/213,206.67
  6. Step 6: Final answer
    x = 83,128.13

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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.