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Finding the Fourth Proportional to 77,075, 115,612.50 and 21,671

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Solution

The fourth proportional to 77,075, 115,612.50 and 21,671 is: 32,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075 : 115,612.50 = 21,671 : x
  2. Step 2: Convert to fraction form
    77,075/115,612.50 = 21,671/x
  3. Step 3: Cross multiply
    77,075x = 115,612.50 × 21,671
  4. Step 4: Simplify right side
    77,075x = 2,505,438,487.50
  5. Step 5: Solve for x
    x = 2,505,438,487.50/77,075
  6. Step 6: Final answer
    x = 32,506.50

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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.