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Finding the Fourth Proportional to 68,756.85, 103,140.68 and 29,314.26

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Solution

The fourth proportional to 68,756.85, 103,140.68 and 29,314.26 is: 43,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,756.85 : 103,140.68 = 29,314.26 : x
  2. Step 2: Convert to fraction form
    68,756.85/103,140.68 = 29,314.26/x
  3. Step 3: Cross multiply
    68,756.85x = 103,140.68 × 29,314.26
  4. Step 4: Simplify right side
    68,756.85x = 3,023,492,563.53
  5. Step 5: Solve for x
    x = 3,023,492,563.53/68,756.85
  6. Step 6: Final answer
    x = 43,973.69

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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.