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Finding the Fourth Proportional to 82,510, 113,860.75 and 44,783.44

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Solution

The fourth proportional to 82,510, 113,860.75 and 44,783.44 is: 61,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,510 : 113,860.75 = 44,783.44 : x
  2. Step 2: Convert to fraction form
    82,510/113,860.75 = 44,783.44/x
  3. Step 3: Cross multiply
    82,510x = 113,860.75 × 44,783.44
  4. Step 4: Simplify right side
    82,510x = 5,099,076,065.98
  5. Step 5: Solve for x
    x = 5,099,076,065.98/82,510
  6. Step 6: Final answer
    x = 61,799.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.