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Finding the Fourth Proportional to 81,857.44, 112,962.09 and 45,558.64

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Solution

The fourth proportional to 81,857.44, 112,962.09 and 45,558.64 is: 62,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,857.44 : 112,962.09 = 45,558.64 : x
  2. Step 2: Convert to fraction form
    81,857.44/112,962.09 = 45,558.64/x
  3. Step 3: Cross multiply
    81,857.44x = 112,962.09 × 45,558.64
  4. Step 4: Simplify right side
    81,857.44x = 5,146,399,191.96
  5. Step 5: Solve for x
    x = 5,146,399,191.96/81,857.44
  6. Step 6: Final answer
    x = 62,870.27

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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.