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Finding the Fourth Proportional to 259,547.37, 389,390.31 and 82,057.74

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Solution

The fourth proportional to 259,547.37, 389,390.31 and 82,057.74 is: 123,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,547.37 : 389,390.31 = 82,057.74 : x
  2. Step 2: Convert to fraction form
    259,547.37/389,390.31 = 82,057.74/x
  3. Step 3: Cross multiply
    259,547.37x = 389,390.31 × 82,057.74
  4. Step 4: Simplify right side
    259,547.37x = 31,952,488,816.50
  5. Step 5: Solve for x
    x = 31,952,488,816.50/259,547.37
  6. Step 6: Final answer
    x = 123,108.51

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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.