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Finding the Fourth Proportional to 105,915.44, 158,630.16 and 61,431.86

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Solution

The fourth proportional to 105,915.44, 158,630.16 and 61,431.86 is: 92,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915.44 : 158,630.16 = 61,431.86 : x
  2. Step 2: Convert to fraction form
    105,915.44/158,630.16 = 61,431.86/x
  3. Step 3: Cross multiply
    105,915.44x = 158,630.16 × 61,431.86
  4. Step 4: Simplify right side
    105,915.44x = 9,744,945,780.90
  5. Step 5: Solve for x
    x = 9,744,945,780.90/105,915.44
  6. Step 6: Final answer
    x = 92,006.85

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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.