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Finding the Fourth Proportional to 259,981.44, 390,030.44 and 82,494.24

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Solution

The fourth proportional to 259,981.44, 390,030.44 and 82,494.24 is: 123,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,981.44 : 390,030.44 = 82,494.24 : x
  2. Step 2: Convert to fraction form
    259,981.44/390,030.44 = 82,494.24/x
  3. Step 3: Cross multiply
    259,981.44x = 390,030.44 × 82,494.24
  4. Step 4: Simplify right side
    259,981.44x = 32,175,264,724.67
  5. Step 5: Solve for x
    x = 32,175,264,724.67/259,981.44
  6. Step 6: Final answer
    x = 123,759.85

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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.