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Finding the Fourth Proportional to 38,090.98, 57,101.46 and 13,125.09

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Solution

The fourth proportional to 38,090.98, 57,101.46 and 13,125.09 is: 19,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090.98 : 57,101.46 = 13,125.09 : x
  2. Step 2: Convert to fraction form
    38,090.98/57,101.46 = 13,125.09/x
  3. Step 3: Cross multiply
    38,090.98x = 57,101.46 × 13,125.09
  4. Step 4: Simplify right side
    38,090.98x = 749,461,801.63
  5. Step 5: Solve for x
    x = 749,461,801.63/38,090.98
  6. Step 6: Final answer
    x = 19,675.57

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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.