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Finding the Fourth Proportional to 71,214, 98,273.70 and 39,383.16

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Solution

The fourth proportional to 71,214, 98,273.70 and 39,383.16 is: 54,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214 : 98,273.70 = 39,383.16 : x
  2. Step 2: Convert to fraction form
    71,214/98,273.70 = 39,383.16/x
  3. Step 3: Cross multiply
    71,214x = 98,273.70 × 39,383.16
  4. Step 4: Simplify right side
    71,214x = 3,870,328,850.89
  5. Step 5: Solve for x
    x = 3,870,328,850.89/71,214
  6. Step 6: Final answer
    x = 54,347.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.