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Finding the Fourth Proportional to 68,679.83, 103,178.13 and 65,842.32

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Solution

The fourth proportional to 68,679.83, 103,178.13 and 65,842.32 is: 98,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,679.83 : 103,178.13 = 65,842.32 : x
  2. Step 2: Convert to fraction form
    68,679.83/103,178.13 = 65,842.32/x
  3. Step 3: Cross multiply
    68,679.83x = 103,178.13 × 65,842.32
  4. Step 4: Simplify right side
    68,679.83x = 6,793,486,721.91
  5. Step 5: Solve for x
    x = 6,793,486,721.91/68,679.83
  6. Step 6: Final answer
    x = 98,915.31

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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.