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Finding the Fourth Proportional to 200,135.53, 300,203.70 and 81,806.82

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Solution

The fourth proportional to 200,135.53, 300,203.70 and 81,806.82 is: 122,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,135.53 : 300,203.70 = 81,806.82 : x
  2. Step 2: Convert to fraction form
    200,135.53/300,203.70 = 81,806.82/x
  3. Step 3: Cross multiply
    200,135.53x = 300,203.70 × 81,806.82
  4. Step 4: Simplify right side
    200,135.53x = 24,558,710,049.23
  5. Step 5: Solve for x
    x = 24,558,710,049.23/200,135.53
  6. Step 6: Final answer
    x = 122,710.40

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1.5x scale

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.