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Finding the Fourth Proportional to 345,731, 518,596.50 and 83,075

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Solution

The fourth proportional to 345,731, 518,596.50 and 83,075 is: 124,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,731 : 518,596.50 = 83,075 : x
  2. Step 2: Convert to fraction form
    345,731/518,596.50 = 83,075/x
  3. Step 3: Cross multiply
    345,731x = 518,596.50 × 83,075
  4. Step 4: Simplify right side
    345,731x = 43,082,404,237.50
  5. Step 5: Solve for x
    x = 43,082,404,237.50/345,731
  6. Step 6: Final answer
    x = 124,612.50

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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.