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Finding the Fourth Proportional to 189,818.72, 261,969.36 and 109,249.28

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Solution

The fourth proportional to 189,818.72, 261,969.36 and 109,249.28 is: 150,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,818.72 : 261,969.36 = 109,249.28 : x
  2. Step 2: Convert to fraction form
    189,818.72/261,969.36 = 109,249.28/x
  3. Step 3: Cross multiply
    189,818.72x = 261,969.36 × 109,249.28
  4. Step 4: Simplify right side
    189,818.72x = 28,619,963,962.06
  5. Step 5: Solve for x
    x = 28,619,963,962.06/189,818.72
  6. Step 6: Final answer
    x = 150,775.24

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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.