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Finding the Fourth Proportional to 270,143.36, 405,184.32 and 73,136

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Solution

The fourth proportional to 270,143.36, 405,184.32 and 73,136 is: 109,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,143.36 : 405,184.32 = 73,136 : x
  2. Step 2: Convert to fraction form
    270,143.36/405,184.32 = 73,136/x
  3. Step 3: Cross multiply
    270,143.36x = 405,184.32 × 73,136
  4. Step 4: Simplify right side
    270,143.36x = 29,633,560,427.52
  5. Step 5: Solve for x
    x = 29,633,560,427.52/270,143.36
  6. Step 6: Final answer
    x = 109,695.68

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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.