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Finding the Fourth Proportional to 104,091, 156,140.82 and 30,219

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Solution

The fourth proportional to 104,091, 156,140.82 and 30,219 is: 45,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,091 : 156,140.82 = 30,219 : x
  2. Step 2: Convert to fraction form
    104,091/156,140.82 = 30,219/x
  3. Step 3: Cross multiply
    104,091x = 156,140.82 × 30,219
  4. Step 4: Simplify right side
    104,091x = 4,718,419,439.58
  5. Step 5: Solve for x
    x = 4,718,419,439.58/104,091
  6. Step 6: Final answer
    x = 45,329.75

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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.