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Finding the Fourth Proportional to 68,148.42, 102,064.68 and 65,784.65

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Solution

The fourth proportional to 68,148.42, 102,064.68 and 65,784.65 is: 98,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.42 : 102,064.68 = 65,784.65 : x
  2. Step 2: Convert to fraction form
    68,148.42/102,064.68 = 65,784.65/x
  3. Step 3: Cross multiply
    68,148.42x = 102,064.68 × 65,784.65
  4. Step 4: Simplify right side
    68,148.42x = 6,714,288,740.84
  5. Step 5: Solve for x
    x = 6,714,288,740.84/68,148.42
  6. Step 6: Final answer
    x = 98,524.50

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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.