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Finding the Fourth Proportional to 68,509.84, 102,823.08 and 26,986

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Solution

The fourth proportional to 68,509.84, 102,823.08 and 26,986 is: 40,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.84 : 102,823.08 = 26,986 : x
  2. Step 2: Convert to fraction form
    68,509.84/102,823.08 = 26,986/x
  3. Step 3: Cross multiply
    68,509.84x = 102,823.08 × 26,986
  4. Step 4: Simplify right side
    68,509.84x = 2,774,783,636.88
  5. Step 5: Solve for x
    x = 2,774,783,636.88/68,509.84
  6. Step 6: Final answer
    x = 40,501.97

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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.