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Finding the Fourth Proportional to 68,118.85, 102,180.84 and 30,671.74

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Solution

The fourth proportional to 68,118.85, 102,180.84 and 30,671.74 is: 46,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,118.85 : 102,180.84 = 30,671.74 : x
  2. Step 2: Convert to fraction form
    68,118.85/102,180.84 = 30,671.74/x
  3. Step 3: Cross multiply
    68,118.85x = 102,180.84 × 30,671.74
  4. Step 4: Simplify right side
    68,118.85x = 3,134,064,157.46
  5. Step 5: Solve for x
    x = 3,134,064,157.46/68,118.85
  6. Step 6: Final answer
    x = 46,008.76

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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.