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Finding the Fourth Proportional to 259,442.33, 389,163.49 and 109,643.76

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Solution

The fourth proportional to 259,442.33, 389,163.49 and 109,643.76 is: 164,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,442.33 : 389,163.49 = 109,643.76 : x
  2. Step 2: Convert to fraction form
    259,442.33/389,163.49 = 109,643.76/x
  3. Step 3: Cross multiply
    259,442.33x = 389,163.49 × 109,643.76
  4. Step 4: Simplify right side
    259,442.33x = 42,669,348,024.21
  5. Step 5: Solve for x
    x = 42,669,348,024.21/259,442.33
  6. Step 6: Final answer
    x = 164,465.64

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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.