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Finding the Fourth Proportional to 68,816, 94,967.52 and 39,008

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Solution

The fourth proportional to 68,816, 94,967.52 and 39,008 is: 53,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,816 : 94,967.52 = 39,008 : x
  2. Step 2: Convert to fraction form
    68,816/94,967.52 = 39,008/x
  3. Step 3: Cross multiply
    68,816x = 94,967.52 × 39,008
  4. Step 4: Simplify right side
    68,816x = 3,704,493,020.16
  5. Step 5: Solve for x
    x = 3,704,493,020.16/68,816
  6. Step 6: Final answer
    x = 53,831.86

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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.