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Finding the Fourth Proportional to 146,130.40, 201,662.63 and 82,455.90

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Solution

The fourth proportional to 146,130.40, 201,662.63 and 82,455.90 is: 113,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,130.40 : 201,662.63 = 82,455.90 : x
  2. Step 2: Convert to fraction form
    146,130.40/201,662.63 = 82,455.90/x
  3. Step 3: Cross multiply
    146,130.40x = 201,662.63 × 82,455.90
  4. Step 4: Simplify right side
    146,130.40x = 16,628,273,653.02
  5. Step 5: Solve for x
    x = 16,628,273,653.02/146,130.40
  6. Step 6: Final answer
    x = 113,790.65

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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.