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Finding the Fourth Proportional to 201,054.12, 301,639.54 and 81,049.13

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Solution

The fourth proportional to 201,054.12, 301,639.54 and 81,049.13 is: 121,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,054.12 : 301,639.54 = 81,049.13 : x
  2. Step 2: Convert to fraction form
    201,054.12/301,639.54 = 81,049.13/x
  3. Step 3: Cross multiply
    201,054.12x = 301,639.54 × 81,049.13
  4. Step 4: Simplify right side
    201,054.12x = 24,447,622,290.60
  5. Step 5: Solve for x
    x = 24,447,622,290.60/201,054.12
  6. Step 6: Final answer
    x = 121,597.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.