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Finding the Fourth Proportional to 103,315.75, 154,999.64 and 29,443.75

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Solution

The fourth proportional to 103,315.75, 154,999.64 and 29,443.75 is: 44,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,315.75 : 154,999.64 = 29,443.75 : x
  2. Step 2: Convert to fraction form
    103,315.75/154,999.64 = 29,443.75/x
  3. Step 3: Cross multiply
    103,315.75x = 154,999.64 × 29,443.75
  4. Step 4: Simplify right side
    103,315.75x = 4,563,770,650.25
  5. Step 5: Solve for x
    x = 4,563,770,650.25/103,315.75
  6. Step 6: Final answer
    x = 44,173.04

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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.