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Finding the Fourth Proportional to 68,776.19, 103,164.66 and 31,310.06

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Solution

The fourth proportional to 68,776.19, 103,164.66 and 31,310.06 is: 46,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,776.19 : 103,164.66 = 31,310.06 : x
  2. Step 2: Convert to fraction form
    68,776.19/103,164.66 = 31,310.06/x
  3. Step 3: Cross multiply
    68,776.19x = 103,164.66 × 31,310.06
  4. Step 4: Simplify right side
    68,776.19x = 3,230,091,178.66
  5. Step 5: Solve for x
    x = 3,230,091,178.66/68,776.19
  6. Step 6: Final answer
    x = 46,965.26

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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.