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Finding the Fourth Proportional to 29,072.70, 43,499.70 and 19,231.20

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Solution

The fourth proportional to 29,072.70, 43,499.70 and 19,231.20 is: 28,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,072.70 : 43,499.70 = 19,231.20 : x
  2. Step 2: Convert to fraction form
    29,072.70/43,499.70 = 19,231.20/x
  3. Step 3: Cross multiply
    29,072.70x = 43,499.70 × 19,231.20
  4. Step 4: Simplify right side
    29,072.70x = 836,551,430.64
  5. Step 5: Solve for x
    x = 836,551,430.64/29,072.70
  6. Step 6: Final answer
    x = 28,774.47

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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.