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Finding the Fourth Proportional to 146,459.40, 202,112.46 and 81,927.80

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Solution

The fourth proportional to 146,459.40, 202,112.46 and 81,927.80 is: 113,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,459.40 : 202,112.46 = 81,927.80 : x
  2. Step 2: Convert to fraction form
    146,459.40/202,112.46 = 81,927.80/x
  3. Step 3: Cross multiply
    146,459.40x = 202,112.46 × 81,927.80
  4. Step 4: Simplify right side
    146,459.40x = 16,558,629,200.39
  5. Step 5: Solve for x
    x = 16,558,629,200.39/146,459.40
  6. Step 6: Final answer
    x = 113,059.52

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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.