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Finding the Fourth Proportional to 145,846.94, 201,268.77 and 82,187.01

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Solution

The fourth proportional to 145,846.94, 201,268.77 and 82,187.01 is: 113,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846.94 : 201,268.77 = 82,187.01 : x
  2. Step 2: Convert to fraction form
    145,846.94/201,268.77 = 82,187.01/x
  3. Step 3: Cross multiply
    145,846.94x = 201,268.77 × 82,187.01
  4. Step 4: Simplify right side
    145,846.94x = 16,541,678,412.68
  5. Step 5: Solve for x
    x = 16,541,678,412.68/145,846.94
  6. Step 6: Final answer
    x = 113,418.07

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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.