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Finding the Fourth Proportional to 54,538.96, 75,218.70 and 38,459.80

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Solution

The fourth proportional to 54,538.96, 75,218.70 and 38,459.80 is: 53,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538.96 : 75,218.70 = 38,459.80 : x
  2. Step 2: Convert to fraction form
    54,538.96/75,218.70 = 38,459.80/x
  3. Step 3: Cross multiply
    54,538.96x = 75,218.70 × 38,459.80
  4. Step 4: Simplify right side
    54,538.96x = 2,892,896,158.26
  5. Step 5: Solve for x
    x = 2,892,896,158.26/54,538.96
  6. Step 6: Final answer
    x = 53,042.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.