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Finding the Fourth Proportional to 259,969.68, 389,968.35 and 82,490.58

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Solution

The fourth proportional to 259,969.68, 389,968.35 and 82,490.58 is: 123,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,969.68 : 389,968.35 = 82,490.58 : x
  2. Step 2: Convert to fraction form
    259,969.68/389,968.35 = 82,490.58/x
  3. Step 3: Cross multiply
    259,969.68x = 389,968.35 × 82,490.58
  4. Step 4: Simplify right side
    259,969.68x = 32,168,715,373.14
  5. Step 5: Solve for x
    x = 32,168,715,373.14/259,969.68
  6. Step 6: Final answer
    x = 123,740.26

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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.