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Finding the Fourth Proportional to 75,774.72, 104,560.65 and 48,538.38

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Solution

The fourth proportional to 75,774.72, 104,560.65 and 48,538.38 is: 66,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774.72 : 104,560.65 = 48,538.38 : x
  2. Step 2: Convert to fraction form
    75,774.72/104,560.65 = 48,538.38/x
  3. Step 3: Cross multiply
    75,774.72x = 104,560.65 × 48,538.38
  4. Step 4: Simplify right side
    75,774.72x = 5,075,204,562.75
  5. Step 5: Solve for x
    x = 5,075,204,562.75/75,774.72
  6. Step 6: Final answer
    x = 66,977.54

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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.