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Finding the Fourth Proportional to 188,790.84, 260,532 and 108,223.20

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Solution

The fourth proportional to 188,790.84, 260,532 and 108,223.20 is: 149,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,790.84 : 260,532 = 108,223.20 : x
  2. Step 2: Convert to fraction form
    188,790.84/260,532 = 108,223.20/x
  3. Step 3: Cross multiply
    188,790.84x = 260,532 × 108,223.20
  4. Step 4: Simplify right side
    188,790.84x = 28,195,606,742.40
  5. Step 5: Solve for x
    x = 28,195,606,742.40/188,790.84
  6. Step 6: Final answer
    x = 149,348.38

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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.