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Finding the Fourth Proportional to 68,114.22, 102,136.20 and 30,642.30

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Solution

The fourth proportional to 68,114.22, 102,136.20 and 30,642.30 is: 45,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.22 : 102,136.20 = 30,642.30 : x
  2. Step 2: Convert to fraction form
    68,114.22/102,136.20 = 30,642.30/x
  3. Step 3: Cross multiply
    68,114.22x = 102,136.20 × 30,642.30
  4. Step 4: Simplify right side
    68,114.22x = 3,129,688,081.26
  5. Step 5: Solve for x
    x = 3,129,688,081.26/68,114.22
  6. Step 6: Final answer
    x = 45,947.65

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1.5x scale

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.