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Finding the Fourth Proportional to 190,643.49, 285,734.25 and 106,313.94

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Solution

The fourth proportional to 190,643.49, 285,734.25 and 106,313.94 is: 159,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,643.49 : 285,734.25 = 106,313.94 : x
  2. Step 2: Convert to fraction form
    190,643.49/285,734.25 = 106,313.94/x
  3. Step 3: Cross multiply
    190,643.49x = 285,734.25 × 106,313.94
  4. Step 4: Simplify right side
    190,643.49x = 30,377,533,910.45
  5. Step 5: Solve for x
    x = 30,377,533,910.45/190,643.49
  6. Step 6: Final answer
    x = 159,342.10

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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.