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Finding the Fourth Proportional to 86,029.48, 128,994 and 33,377.46

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Solution

The fourth proportional to 86,029.48, 128,994 and 33,377.46 is: 50,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029.48 : 128,994 = 33,377.46 : x
  2. Step 2: Convert to fraction form
    86,029.48/128,994 = 33,377.46/x
  3. Step 3: Cross multiply
    86,029.48x = 128,994 × 33,377.46
  4. Step 4: Simplify right side
    86,029.48x = 4,305,492,075.24
  5. Step 5: Solve for x
    x = 4,305,492,075.24/86,029.48
  6. Step 6: Final answer
    x = 50,046.71

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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.