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Finding the Fourth Proportional to 203,196, 280,401.84 and 112,551.60

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Solution

The fourth proportional to 203,196, 280,401.84 and 112,551.60 is: 155,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,196 : 280,401.84 = 112,551.60 : x
  2. Step 2: Convert to fraction form
    203,196/280,401.84 = 112,551.60/x
  3. Step 3: Cross multiply
    203,196x = 280,401.84 × 112,551.60
  4. Step 4: Simplify right side
    203,196x = 31,559,675,734.94
  5. Step 5: Solve for x
    x = 31,559,675,734.94/203,196
  6. Step 6: Final answer
    x = 155,316.42

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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.