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Finding the Fourth Proportional to 190,302.72, 285,454.08 and 65,634

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Solution

The fourth proportional to 190,302.72, 285,454.08 and 65,634 is: 98,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,302.72 : 285,454.08 = 65,634 : x
  2. Step 2: Convert to fraction form
    190,302.72/285,454.08 = 65,634/x
  3. Step 3: Cross multiply
    190,302.72x = 285,454.08 × 65,634
  4. Step 4: Simplify right side
    190,302.72x = 18,735,493,086.72
  5. Step 5: Solve for x
    x = 18,735,493,086.72/190,302.72
  6. Step 6: Final answer
    x = 98,451

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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.