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Finding the Fourth Proportional to 203,023.80, 304,349.94 and 78,270.84

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Solution

The fourth proportional to 203,023.80, 304,349.94 and 78,270.84 is: 117,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,023.80 : 304,349.94 = 78,270.84 : x
  2. Step 2: Convert to fraction form
    203,023.80/304,349.94 = 78,270.84/x
  3. Step 3: Cross multiply
    203,023.80x = 304,349.94 × 78,270.84
  4. Step 4: Simplify right side
    203,023.80x = 23,821,725,457.75
  5. Step 5: Solve for x
    x = 23,821,725,457.75/203,023.80
  6. Step 6: Final answer
    x = 117,334.64

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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.