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Finding the Fourth Proportional to 203,003, 280,144.69 and 112,365.21

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Solution

The fourth proportional to 203,003, 280,144.69 and 112,365.21 is: 155,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,003 : 280,144.69 = 112,365.21 : x
  2. Step 2: Convert to fraction form
    203,003/280,144.69 = 112,365.21/x
  3. Step 3: Cross multiply
    203,003x = 280,144.69 × 112,365.21
  4. Step 4: Simplify right side
    203,003x = 31,478,516,922.23
  5. Step 5: Solve for x
    x = 31,478,516,922.23/203,003
  6. Step 6: Final answer
    x = 155,064.29

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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.