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Finding the Fourth Proportional to 189,479.57, 283,972.55 and 77,028.44

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Solution

The fourth proportional to 189,479.57, 283,972.55 and 77,028.44 is: 115,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,479.57 : 283,972.55 = 77,028.44 : x
  2. Step 2: Convert to fraction form
    189,479.57/283,972.55 = 77,028.44/x
  3. Step 3: Cross multiply
    189,479.57x = 283,972.55 × 77,028.44
  4. Step 4: Simplify right side
    189,479.57x = 21,873,960,724.32
  5. Step 5: Solve for x
    x = 21,873,960,724.32/189,479.57
  6. Step 6: Final answer
    x = 115,442.32

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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.