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Finding the Fourth Proportional to 103,806.84, 143,104.14 and 73,947

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Solution

The fourth proportional to 103,806.84, 143,104.14 and 73,947 is: 101,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.84 : 143,104.14 = 73,947 : x
  2. Step 2: Convert to fraction form
    103,806.84/143,104.14 = 73,947/x
  3. Step 3: Cross multiply
    103,806.84x = 143,104.14 × 73,947
  4. Step 4: Simplify right side
    103,806.84x = 10,582,121,840.58
  5. Step 5: Solve for x
    x = 10,582,121,840.58/103,806.84
  6. Step 6: Final answer
    x = 101,940.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.