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Finding the Fourth Proportional to 259,782.96, 389,677.29 and 91,308.09

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Solution

The fourth proportional to 259,782.96, 389,677.29 and 91,308.09 is: 136,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,782.96 : 389,677.29 = 91,308.09 : x
  2. Step 2: Convert to fraction form
    259,782.96/389,677.29 = 91,308.09/x
  3. Step 3: Cross multiply
    259,782.96x = 389,677.29 × 91,308.09
  4. Step 4: Simplify right side
    259,782.96x = 35,580,689,066.28
  5. Step 5: Solve for x
    x = 35,580,689,066.28/259,782.96
  6. Step 6: Final answer
    x = 136,963.14

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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.