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Finding the Fourth Proportional to 190,647, 285,970.50 and 65,988

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Solution

The fourth proportional to 190,647, 285,970.50 and 65,988 is: 98,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,647 : 285,970.50 = 65,988 : x
  2. Step 2: Convert to fraction form
    190,647/285,970.50 = 65,988/x
  3. Step 3: Cross multiply
    190,647x = 285,970.50 × 65,988
  4. Step 4: Simplify right side
    190,647x = 18,870,621,354
  5. Step 5: Solve for x
    x = 18,870,621,354/190,647
  6. Step 6: Final answer
    x = 98,982

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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.