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Finding the Fourth Proportional to 99,579, 137,419.02 and 54,867

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Solution

The fourth proportional to 99,579, 137,419.02 and 54,867 is: 75,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,579 : 137,419.02 = 54,867 : x
  2. Step 2: Convert to fraction form
    99,579/137,419.02 = 54,867/x
  3. Step 3: Cross multiply
    99,579x = 137,419.02 × 54,867
  4. Step 4: Simplify right side
    99,579x = 7,539,769,370.34
  5. Step 5: Solve for x
    x = 7,539,769,370.34/99,579
  6. Step 6: Final answer
    x = 75,716.46

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Why These Related Problems?

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