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Finding the Fourth Proportional to 68,716.80, 103,075.20 and 31,294.80

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Solution

The fourth proportional to 68,716.80, 103,075.20 and 31,294.80 is: 46,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716.80 : 103,075.20 = 31,294.80 : x
  2. Step 2: Convert to fraction form
    68,716.80/103,075.20 = 31,294.80/x
  3. Step 3: Cross multiply
    68,716.80x = 103,075.20 × 31,294.80
  4. Step 4: Simplify right side
    68,716.80x = 3,225,717,768.96
  5. Step 5: Solve for x
    x = 3,225,717,768.96/68,716.80
  6. Step 6: Final answer
    x = 46,942.20

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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.