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Finding the Fourth Proportional to 189,961.75, 284,942.90 and 65,302.75

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Solution

The fourth proportional to 189,961.75, 284,942.90 and 65,302.75 is: 97,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,961.75 : 284,942.90 = 65,302.75 : x
  2. Step 2: Convert to fraction form
    189,961.75/284,942.90 = 65,302.75/x
  3. Step 3: Cross multiply
    189,961.75x = 284,942.90 × 65,302.75
  4. Step 4: Simplify right side
    189,961.75x = 18,607,554,962.98
  5. Step 5: Solve for x
    x = 18,607,554,962.98/189,961.75
  6. Step 6: Final answer
    x = 97,954.22

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1.5x scale

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.