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Finding the Fourth Proportional to 103,853.92, 143,224.32 and 68,030.86

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Solution

The fourth proportional to 103,853.92, 143,224.32 and 68,030.86 is: 93,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853.92 : 143,224.32 = 68,030.86 : x
  2. Step 2: Convert to fraction form
    103,853.92/143,224.32 = 68,030.86/x
  3. Step 3: Cross multiply
    103,853.92x = 143,224.32 × 68,030.86
  4. Step 4: Simplify right side
    103,853.92x = 9,743,673,662.52
  5. Step 5: Solve for x
    x = 9,743,673,662.52/103,853.92
  6. Step 6: Final answer
    x = 93,820.95

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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.