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Finding the Fourth Proportional to 85,057.09, 127,580.50 and 37,658.32

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Solution

The fourth proportional to 85,057.09, 127,580.50 and 37,658.32 is: 56,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057.09 : 127,580.50 = 37,658.32 : x
  2. Step 2: Convert to fraction form
    85,057.09/127,580.50 = 37,658.32/x
  3. Step 3: Cross multiply
    85,057.09x = 127,580.50 × 37,658.32
  4. Step 4: Simplify right side
    85,057.09x = 4,804,467,022.88
  5. Step 5: Solve for x
    x = 4,804,467,022.88/85,057.09
  6. Step 6: Final answer
    x = 56,485.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.