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Finding the Fourth Proportional to 231,227.50, 319,071.52 and 145,158.97

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Solution

The fourth proportional to 231,227.50, 319,071.52 and 145,158.97 is: 200,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,227.50 : 319,071.52 = 145,158.97 : x
  2. Step 2: Convert to fraction form
    231,227.50/319,071.52 = 145,158.97/x
  3. Step 3: Cross multiply
    231,227.50x = 319,071.52 × 145,158.97
  4. Step 4: Simplify right side
    231,227.50x = 46,316,093,181.56
  5. Step 5: Solve for x
    x = 46,316,093,181.56/231,227.50
  6. Step 6: Final answer
    x = 200,305.30

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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.