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Finding the Fourth Proportional to 201,659.04, 301,728.53 and 120,305.21

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Solution

The fourth proportional to 201,659.04, 301,728.53 and 120,305.21 is: 180,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659.04 : 301,728.53 = 120,305.21 : x
  2. Step 2: Convert to fraction form
    201,659.04/301,728.53 = 120,305.21/x
  3. Step 3: Cross multiply
    201,659.04x = 301,728.53 × 120,305.21
  4. Step 4: Simplify right side
    201,659.04x = 36,299,512,054.47
  5. Step 5: Solve for x
    x = 36,299,512,054.47/201,659.04
  6. Step 6: Final answer
    x = 180,004.39

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1.5x scale

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.