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Finding the Fourth Proportional to 203,816.51, 305,652.02 and 83,838.40

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Solution

The fourth proportional to 203,816.51, 305,652.02 and 83,838.40 is: 125,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,816.51 : 305,652.02 = 83,838.40 : x
  2. Step 2: Convert to fraction form
    203,816.51/305,652.02 = 83,838.40/x
  3. Step 3: Cross multiply
    203,816.51x = 305,652.02 × 83,838.40
  4. Step 4: Simplify right side
    203,816.51x = 25,625,375,130.25
  5. Step 5: Solve for x
    x = 25,625,375,130.25/203,816.51
  6. Step 6: Final answer
    x = 125,727.67

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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.