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Finding the Fourth Proportional to 203,427, 305,140.50 and 78,768

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Solution

The fourth proportional to 203,427, 305,140.50 and 78,768 is: 118,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427 : 305,140.50 = 78,768 : x
  2. Step 2: Convert to fraction form
    203,427/305,140.50 = 78,768/x
  3. Step 3: Cross multiply
    203,427x = 305,140.50 × 78,768
  4. Step 4: Simplify right side
    203,427x = 24,035,306,904
  5. Step 5: Solve for x
    x = 24,035,306,904/203,427
  6. Step 6: Final answer
    x = 118,152

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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.