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Finding the Fourth Proportional to 270,583.74, 405,761.41 and 81,071.05

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Solution

The fourth proportional to 270,583.74, 405,761.41 and 81,071.05 is: 121,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,583.74 : 405,761.41 = 81,071.05 : x
  2. Step 2: Convert to fraction form
    270,583.74/405,761.41 = 81,071.05/x
  3. Step 3: Cross multiply
    270,583.74x = 405,761.41 × 81,071.05
  4. Step 4: Simplify right side
    270,583.74x = 32,895,503,558.18
  5. Step 5: Solve for x
    x = 32,895,503,558.18/270,583.74
  6. Step 6: Final answer
    x = 121,572.36

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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.