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Finding the Fourth Proportional to 109,447.84, 164,206.32 and 47,147.68

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Solution

The fourth proportional to 109,447.84, 164,206.32 and 47,147.68 is: 70,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,447.84 : 164,206.32 = 47,147.68 : x
  2. Step 2: Convert to fraction form
    109,447.84/164,206.32 = 47,147.68/x
  3. Step 3: Cross multiply
    109,447.84x = 164,206.32 × 47,147.68
  4. Step 4: Simplify right side
    109,447.84x = 7,741,947,029.34
  5. Step 5: Solve for x
    x = 7,741,947,029.34/109,447.84
  6. Step 6: Final answer
    x = 70,736.41

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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.