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Finding the Fourth Proportional to 188,495.42, 260,129.31 and 107,949.02

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Solution

The fourth proportional to 188,495.42, 260,129.31 and 107,949.02 is: 148,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,495.42 : 260,129.31 = 107,949.02 : x
  2. Step 2: Convert to fraction form
    188,495.42/260,129.31 = 107,949.02/x
  3. Step 3: Cross multiply
    188,495.42x = 260,129.31 × 107,949.02
  4. Step 4: Simplify right side
    188,495.42x = 28,080,704,087.78
  5. Step 5: Solve for x
    x = 28,080,704,087.78/188,495.42
  6. Step 6: Final answer
    x = 148,972.87

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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.