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Finding the Fourth Proportional to 146,129.36, 201,658.56 and 82,480.64

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Solution

The fourth proportional to 146,129.36, 201,658.56 and 82,480.64 is: 113,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,129.36 : 201,658.56 = 82,480.64 : x
  2. Step 2: Convert to fraction form
    146,129.36/201,658.56 = 82,480.64/x
  3. Step 3: Cross multiply
    146,129.36x = 201,658.56 × 82,480.64
  4. Step 4: Simplify right side
    146,129.36x = 16,632,927,090.28
  5. Step 5: Solve for x
    x = 16,632,927,090.28/146,129.36
  6. Step 6: Final answer
    x = 113,823.31

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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.