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Finding the Fourth Proportional to 201,920.85, 302,822.96 and 68,798.16

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Solution

The fourth proportional to 201,920.85, 302,822.96 and 68,798.16 is: 103,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.85 : 302,822.96 = 68,798.16 : x
  2. Step 2: Convert to fraction form
    201,920.85/302,822.96 = 68,798.16/x
  3. Step 3: Cross multiply
    201,920.85x = 302,822.96 × 68,798.16
  4. Step 4: Simplify right side
    201,920.85x = 20,833,662,109.76
  5. Step 5: Solve for x
    x = 20,833,662,109.76/201,920.85
  6. Step 6: Final answer
    x = 103,177.37

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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.