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Finding the Fourth Proportional to 259,866.42, 389,813.49 and 82,387.32

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Solution

The fourth proportional to 259,866.42, 389,813.49 and 82,387.32 is: 123,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866.42 : 389,813.49 = 82,387.32 : x
  2. Step 2: Convert to fraction form
    259,866.42/389,813.49 = 82,387.32/x
  3. Step 3: Cross multiply
    259,866.42x = 389,813.49 × 82,387.32
  4. Step 4: Simplify right side
    259,866.42x = 32,115,688,740.95
  5. Step 5: Solve for x
    x = 32,115,688,740.95/259,866.42
  6. Step 6: Final answer
    x = 123,585.37

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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.