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Finding the Fourth Proportional to 203,693.15, 305,557.50 and 83,757.40

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Solution

The fourth proportional to 203,693.15, 305,557.50 and 83,757.40 is: 125,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,693.15 : 305,557.50 = 83,757.40 : x
  2. Step 2: Convert to fraction form
    203,693.15/305,557.50 = 83,757.40/x
  3. Step 3: Cross multiply
    203,693.15x = 305,557.50 × 83,757.40
  4. Step 4: Simplify right side
    203,693.15x = 25,592,701,750.50
  5. Step 5: Solve for x
    x = 25,592,701,750.50/203,693.15
  6. Step 6: Final answer
    x = 125,643.41

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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.