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Finding the Fourth Proportional to 201,687.78, 302,633.73 and 83,443.98

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Solution

The fourth proportional to 201,687.78, 302,633.73 and 83,443.98 is: 125,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.78 : 302,633.73 = 83,443.98 : x
  2. Step 2: Convert to fraction form
    201,687.78/302,633.73 = 83,443.98/x
  3. Step 3: Cross multiply
    201,687.78x = 302,633.73 × 83,443.98
  4. Step 4: Simplify right side
    201,687.78x = 25,252,962,913.45
  5. Step 5: Solve for x
    x = 25,252,962,913.45/201,687.78
  6. Step 6: Final answer
    x = 125,208.20

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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.