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Finding the Fourth Proportional to 68,719.25, 103,091.19 and 35,430.38

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Solution

The fourth proportional to 68,719.25, 103,091.19 and 35,430.38 is: 53,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,719.25 : 103,091.19 = 35,430.38 : x
  2. Step 2: Convert to fraction form
    68,719.25/103,091.19 = 35,430.38/x
  3. Step 3: Cross multiply
    68,719.25x = 103,091.19 × 35,430.38
  4. Step 4: Simplify right side
    68,719.25x = 3,652,560,036.35
  5. Step 5: Solve for x
    x = 3,652,560,036.35/68,719.25
  6. Step 6: Final answer
    x = 53,151.92

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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.