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Finding the Fourth Proportional to 104,491, 156,736.50 and 30,619

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Solution

The fourth proportional to 104,491, 156,736.50 and 30,619 is: 45,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,491 : 156,736.50 = 30,619 : x
  2. Step 2: Convert to fraction form
    104,491/156,736.50 = 30,619/x
  3. Step 3: Cross multiply
    104,491x = 156,736.50 × 30,619
  4. Step 4: Simplify right side
    104,491x = 4,799,114,893.50
  5. Step 5: Solve for x
    x = 4,799,114,893.50/104,491
  6. Step 6: Final answer
    x = 45,928.50

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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.