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Finding the Fourth Proportional to 75,849, 113,773.50 and 20,445

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Solution

The fourth proportional to 75,849, 113,773.50 and 20,445 is: 30,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849 : 113,773.50 = 20,445 : x
  2. Step 2: Convert to fraction form
    75,849/113,773.50 = 20,445/x
  3. Step 3: Cross multiply
    75,849x = 113,773.50 × 20,445
  4. Step 4: Simplify right side
    75,849x = 2,326,099,207.50
  5. Step 5: Solve for x
    x = 2,326,099,207.50/75,849
  6. Step 6: Final answer
    x = 30,667.50

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Why These Related Problems?

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