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Finding the Fourth Proportional to 68,490.90, 102,734.91 and 31,554.90

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Solution

The fourth proportional to 68,490.90, 102,734.91 and 31,554.90 is: 47,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,490.90 : 102,734.91 = 31,554.90 : x
  2. Step 2: Convert to fraction form
    68,490.90/102,734.91 = 31,554.90/x
  3. Step 3: Cross multiply
    68,490.90x = 102,734.91 × 31,554.90
  4. Step 4: Simplify right side
    68,490.90x = 3,241,789,811.56
  5. Step 5: Solve for x
    x = 3,241,789,811.56/68,490.90
  6. Step 6: Final answer
    x = 47,331.69

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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.