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Finding the Fourth Proportional to 68,502.84, 102,812.60 and 26,979

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Solution

The fourth proportional to 68,502.84, 102,812.60 and 26,979 is: 40,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502.84 : 102,812.60 = 26,979 : x
  2. Step 2: Convert to fraction form
    68,502.84/102,812.60 = 26,979/x
  3. Step 3: Cross multiply
    68,502.84x = 102,812.60 × 26,979
  4. Step 4: Simplify right side
    68,502.84x = 2,773,781,135.40
  5. Step 5: Solve for x
    x = 2,773,781,135.40/68,502.84
  6. Step 6: Final answer
    x = 40,491.48

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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.