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Finding the Fourth Proportional to 188,119.84, 259,604.48 and 102,078.80

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Solution

The fourth proportional to 188,119.84, 259,604.48 and 102,078.80 is: 140,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,119.84 : 259,604.48 = 102,078.80 : x
  2. Step 2: Convert to fraction form
    188,119.84/259,604.48 = 102,078.80/x
  3. Step 3: Cross multiply
    188,119.84x = 259,604.48 × 102,078.80
  4. Step 4: Simplify right side
    188,119.84x = 26,500,113,793.02
  5. Step 5: Solve for x
    x = 26,500,113,793.02/188,119.84
  6. Step 6: Final answer
    x = 140,868.26

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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.