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Finding the Fourth Proportional to 68,110.50, 102,165.76 and 18,862.50

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Solution

The fourth proportional to 68,110.50, 102,165.76 and 18,862.50 is: 28,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110.50 : 102,165.76 = 18,862.50 : x
  2. Step 2: Convert to fraction form
    68,110.50/102,165.76 = 18,862.50/x
  3. Step 3: Cross multiply
    68,110.50x = 102,165.76 × 18,862.50
  4. Step 4: Simplify right side
    68,110.50x = 1,927,101,648
  5. Step 5: Solve for x
    x = 1,927,101,648/68,110.50
  6. Step 6: Final answer
    x = 28,293.75

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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.