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Finding the Fourth Proportional to 188,787, 260,467.38 and 107,101.78

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Solution

The fourth proportional to 188,787, 260,467.38 and 107,101.78 is: 147,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,787 : 260,467.38 = 107,101.78 : x
  2. Step 2: Convert to fraction form
    188,787/260,467.38 = 107,101.78/x
  3. Step 3: Cross multiply
    188,787x = 260,467.38 × 107,101.78
  4. Step 4: Simplify right side
    188,787x = 27,896,520,029.94
  5. Step 5: Solve for x
    x = 27,896,520,029.94/188,787
  6. Step 6: Final answer
    x = 147,767.17

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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.