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Finding the Fourth Proportional to 68,508.84, 102,821.58 and 26,985

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Solution

The fourth proportional to 68,508.84, 102,821.58 and 26,985 is: 40,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,508.84 : 102,821.58 = 26,985 : x
  2. Step 2: Convert to fraction form
    68,508.84/102,821.58 = 26,985/x
  3. Step 3: Cross multiply
    68,508.84x = 102,821.58 × 26,985
  4. Step 4: Simplify right side
    68,508.84x = 2,774,640,336.30
  5. Step 5: Solve for x
    x = 2,774,640,336.30/68,508.84
  6. Step 6: Final answer
    x = 40,500.47

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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.