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Finding the Fourth Proportional to 82,851.75, 124,278.84 and 20,522.25

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Solution

The fourth proportional to 82,851.75, 124,278.84 and 20,522.25 is: 30,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.75 : 124,278.84 = 20,522.25 : x
  2. Step 2: Convert to fraction form
    82,851.75/124,278.84 = 20,522.25/x
  3. Step 3: Cross multiply
    82,851.75x = 124,278.84 × 20,522.25
  4. Step 4: Simplify right side
    82,851.75x = 2,550,481,424.19
  5. Step 5: Solve for x
    x = 2,550,481,424.19/82,851.75
  6. Step 6: Final answer
    x = 30,783.68

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1.5x scale

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.