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Finding the Fourth Proportional to 190,306.72, 285,460.08 and 65,638

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Solution

The fourth proportional to 190,306.72, 285,460.08 and 65,638 is: 98,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,306.72 : 285,460.08 = 65,638 : x
  2. Step 2: Convert to fraction form
    190,306.72/285,460.08 = 65,638/x
  3. Step 3: Cross multiply
    190,306.72x = 285,460.08 × 65,638
  4. Step 4: Simplify right side
    190,306.72x = 18,737,028,731.04
  5. Step 5: Solve for x
    x = 18,737,028,731.04/190,306.72
  6. Step 6: Final answer
    x = 98,457

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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.