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Finding the Fourth Proportional to 190,136, 262,456.80 and 110,648

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Solution

The fourth proportional to 190,136, 262,456.80 and 110,648 is: 152,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,136 : 262,456.80 = 110,648 : x
  2. Step 2: Convert to fraction form
    190,136/262,456.80 = 110,648/x
  3. Step 3: Cross multiply
    190,136x = 262,456.80 × 110,648
  4. Step 4: Simplify right side
    190,136x = 29,040,320,006.40
  5. Step 5: Solve for x
    x = 29,040,320,006.40/190,136
  6. Step 6: Final answer
    x = 152,734.46

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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.