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Finding the Fourth Proportional to 86,443, 129,664.50 and 28,075

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Solution

The fourth proportional to 86,443, 129,664.50 and 28,075 is: 42,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,443 : 129,664.50 = 28,075 : x
  2. Step 2: Convert to fraction form
    86,443/129,664.50 = 28,075/x
  3. Step 3: Cross multiply
    86,443x = 129,664.50 × 28,075
  4. Step 4: Simplify right side
    86,443x = 3,640,330,837.50
  5. Step 5: Solve for x
    x = 3,640,330,837.50/86,443
  6. Step 6: Final answer
    x = 42,112.50

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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.