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Finding the Fourth Proportional to 189,920.40, 284,647.32 and 106,639.44

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Solution

The fourth proportional to 189,920.40, 284,647.32 and 106,639.44 is: 159,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,920.40 : 284,647.32 = 106,639.44 : x
  2. Step 2: Convert to fraction form
    189,920.40/284,647.32 = 106,639.44/x
  3. Step 3: Cross multiply
    189,920.40x = 284,647.32 × 106,639.44
  4. Step 4: Simplify right side
    189,920.40x = 30,354,630,802.30
  5. Step 5: Solve for x
    x = 30,354,630,802.30/189,920.40
  6. Step 6: Final answer
    x = 159,828.17

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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.