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Finding the Fourth Proportional to 213,715.67, 320,590.17 and 71,561.48

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Solution

The fourth proportional to 213,715.67, 320,590.17 and 71,561.48 is: 107,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,715.67 : 320,590.17 = 71,561.48 : x
  2. Step 2: Convert to fraction form
    213,715.67/320,590.17 = 71,561.48/x
  3. Step 3: Cross multiply
    213,715.67x = 320,590.17 × 71,561.48
  4. Step 4: Simplify right side
    213,715.67x = 22,941,905,435.70
  5. Step 5: Solve for x
    x = 22,941,905,435.70/213,715.67
  6. Step 6: Final answer
    x = 107,347.80

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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.