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Finding the Fourth Proportional to 259,739.88, 389,648.78 and 91,230.50

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Solution

The fourth proportional to 259,739.88, 389,648.78 and 91,230.50 is: 136,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,739.88 : 389,648.78 = 91,230.50 : x
  2. Step 2: Convert to fraction form
    259,739.88/389,648.78 = 91,230.50/x
  3. Step 3: Cross multiply
    259,739.88x = 389,648.78 × 91,230.50
  4. Step 4: Simplify right side
    259,739.88x = 35,547,852,567.64
  5. Step 5: Solve for x
    x = 35,547,852,567.64/259,739.88
  6. Step 6: Final answer
    x = 136,859.43

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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.