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Finding the Fourth Proportional to 83,075.93, 124,609.79 and 30,481.31

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Solution

The fourth proportional to 83,075.93, 124,609.79 and 30,481.31 is: 45,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.93 : 124,609.79 = 30,481.31 : x
  2. Step 2: Convert to fraction form
    83,075.93/124,609.79 = 30,481.31/x
  3. Step 3: Cross multiply
    83,075.93x = 124,609.79 × 30,481.31
  4. Step 4: Simplify right side
    83,075.93x = 3,798,270,025.75
  5. Step 5: Solve for x
    x = 3,798,270,025.75/83,075.93
  6. Step 6: Final answer
    x = 45,720.46

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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.