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Finding the Fourth Proportional to 58,144, 80,239.04 and 31,648

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Solution

The fourth proportional to 58,144, 80,239.04 and 31,648 is: 43,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,144 : 80,239.04 = 31,648 : x
  2. Step 2: Convert to fraction form
    58,144/80,239.04 = 31,648/x
  3. Step 3: Cross multiply
    58,144x = 80,239.04 × 31,648
  4. Step 4: Simplify right side
    58,144x = 2,539,405,137.92
  5. Step 5: Solve for x
    x = 2,539,405,137.92/58,144
  6. Step 6: Final answer
    x = 43,674.41

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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.