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Finding the Fourth Proportional to 201,048.30, 301,681.80 and 82,731.60

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Solution

The fourth proportional to 201,048.30, 301,681.80 and 82,731.60 is: 124,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,048.30 : 301,681.80 = 82,731.60 : x
  2. Step 2: Convert to fraction form
    201,048.30/301,681.80 = 82,731.60/x
  3. Step 3: Cross multiply
    201,048.30x = 301,681.80 × 82,731.60
  4. Step 4: Simplify right side
    201,048.30x = 24,958,618,004.88
  5. Step 5: Solve for x
    x = 24,958,618,004.88/201,048.30
  6. Step 6: Final answer
    x = 124,142.40

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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.