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Finding the Fourth Proportional to 68,452.95, 102,689.15 and 21,071.98

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Solution

The fourth proportional to 68,452.95, 102,689.15 and 21,071.98 is: 31,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.95 : 102,689.15 = 21,071.98 : x
  2. Step 2: Convert to fraction form
    68,452.95/102,689.15 = 21,071.98/x
  3. Step 3: Cross multiply
    68,452.95x = 102,689.15 × 21,071.98
  4. Step 4: Simplify right side
    68,452.95x = 2,163,863,856.55
  5. Step 5: Solve for x
    x = 2,163,863,856.55/68,452.95
  6. Step 6: Final answer
    x = 31,610.97

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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.