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Finding the Fourth Proportional to 68,719.80, 103,079.70 and 31,297.80

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Solution

The fourth proportional to 68,719.80, 103,079.70 and 31,297.80 is: 46,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,719.80 : 103,079.70 = 31,297.80 : x
  2. Step 2: Convert to fraction form
    68,719.80/103,079.70 = 31,297.80/x
  3. Step 3: Cross multiply
    68,719.80x = 103,079.70 × 31,297.80
  4. Step 4: Simplify right side
    68,719.80x = 3,226,167,834.66
  5. Step 5: Solve for x
    x = 3,226,167,834.66/68,719.80
  6. Step 6: Final answer
    x = 46,946.70

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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.