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Finding the Fourth Proportional to 68,149.84, 102,066 and 65,785.18

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Solution

The fourth proportional to 68,149.84, 102,066 and 65,785.18 is: 98,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,149.84 : 102,066 = 65,785.18 : x
  2. Step 2: Convert to fraction form
    68,149.84/102,066 = 65,785.18/x
  3. Step 3: Cross multiply
    68,149.84x = 102,066 × 65,785.18
  4. Step 4: Simplify right side
    68,149.84x = 6,714,430,181.88
  5. Step 5: Solve for x
    x = 6,714,430,181.88/68,149.84
  6. Step 6: Final answer
    x = 98,524.52

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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.