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Finding the Fourth Proportional to 66,702.89, 100,054.33 and 31,623.41

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Solution

The fourth proportional to 66,702.89, 100,054.33 and 31,623.41 is: 47,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,702.89 : 100,054.33 = 31,623.41 : x
  2. Step 2: Convert to fraction form
    66,702.89/100,054.33 = 31,623.41/x
  3. Step 3: Cross multiply
    66,702.89x = 100,054.33 × 31,623.41
  4. Step 4: Simplify right side
    66,702.89x = 3,164,059,099.87
  5. Step 5: Solve for x
    x = 3,164,059,099.87/66,702.89
  6. Step 6: Final answer
    x = 47,435.11

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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.