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Finding the Fourth Proportional to 188,429.94, 260,018.10 and 107,839.08

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Solution

The fourth proportional to 188,429.94, 260,018.10 and 107,839.08 is: 148,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,429.94 : 260,018.10 = 107,839.08 : x
  2. Step 2: Convert to fraction form
    188,429.94/260,018.10 = 107,839.08/x
  3. Step 3: Cross multiply
    188,429.94x = 260,018.10 × 107,839.08
  4. Step 4: Simplify right side
    188,429.94x = 28,040,112,687.35
  5. Step 5: Solve for x
    x = 28,040,112,687.35/188,429.94
  6. Step 6: Final answer
    x = 148,809.22

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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.