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Finding the Fourth Proportional to 259,305.75, 389,111.72 and 109,536.35

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Solution

The fourth proportional to 259,305.75, 389,111.72 and 109,536.35 is: 164,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,305.75 : 389,111.72 = 109,536.35 : x
  2. Step 2: Convert to fraction form
    259,305.75/389,111.72 = 109,536.35/x
  3. Step 3: Cross multiply
    259,305.75x = 389,111.72 × 109,536.35
  4. Step 4: Simplify right side
    259,305.75x = 42,621,875,057.78
  5. Step 5: Solve for x
    x = 42,621,875,057.78/259,305.75
  6. Step 6: Final answer
    x = 164,369.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.