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Finding the Fourth Proportional to 68,148.84, 102,064.50 and 65,784.18

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Solution

The fourth proportional to 68,148.84, 102,064.50 and 65,784.18 is: 98,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.84 : 102,064.50 = 65,784.18 : x
  2. Step 2: Convert to fraction form
    68,148.84/102,064.50 = 65,784.18/x
  3. Step 3: Cross multiply
    68,148.84x = 102,064.50 × 65,784.18
  4. Step 4: Simplify right side
    68,148.84x = 6,714,229,439.61
  5. Step 5: Solve for x
    x = 6,714,229,439.61/68,148.84
  6. Step 6: Final answer
    x = 98,523.02

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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.