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Finding the Fourth Proportional to 203,464.84, 305,134.86 and 140,688.34

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Solution

The fourth proportional to 203,464.84, 305,134.86 and 140,688.34 is: 210,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,464.84 : 305,134.86 = 140,688.34 : x
  2. Step 2: Convert to fraction form
    203,464.84/305,134.86 = 140,688.34/x
  3. Step 3: Cross multiply
    203,464.84x = 305,134.86 × 140,688.34
  4. Step 4: Simplify right side
    203,464.84x = 42,928,916,929.53
  5. Step 5: Solve for x
    x = 42,928,916,929.53/203,464.84
  6. Step 6: Final answer
    x = 210,989.36

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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.