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Finding the Fourth Proportional to 49,000.44, 67,608.78 and 31,089

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Solution

The fourth proportional to 49,000.44, 67,608.78 and 31,089 is: 42,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000.44 : 67,608.78 = 31,089 : x
  2. Step 2: Convert to fraction form
    49,000.44/67,608.78 = 31,089/x
  3. Step 3: Cross multiply
    49,000.44x = 67,608.78 × 31,089
  4. Step 4: Simplify right side
    49,000.44x = 2,101,889,361.42
  5. Step 5: Solve for x
    x = 2,101,889,361.42/49,000.44
  6. Step 6: Final answer
    x = 42,895.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.