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Finding the Fourth Proportional to 68,144.84, 102,217.18 and 18,896.84

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Solution

The fourth proportional to 68,144.84, 102,217.18 and 18,896.84 is: 28,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.84 : 102,217.18 = 18,896.84 : x
  2. Step 2: Convert to fraction form
    68,144.84/102,217.18 = 18,896.84/x
  3. Step 3: Cross multiply
    68,144.84x = 102,217.18 × 18,896.84
  4. Step 4: Simplify right side
    68,144.84x = 1,931,581,695.71
  5. Step 5: Solve for x
    x = 1,931,581,695.71/68,144.84
  6. Step 6: Final answer
    x = 28,345.24

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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.