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Finding the Fourth Proportional to 75,878.96, 113,805.44 and 20,462

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Solution

The fourth proportional to 75,878.96, 113,805.44 and 20,462 is: 30,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.96 : 113,805.44 = 20,462 : x
  2. Step 2: Convert to fraction form
    75,878.96/113,805.44 = 20,462/x
  3. Step 3: Cross multiply
    75,878.96x = 113,805.44 × 20,462
  4. Step 4: Simplify right side
    75,878.96x = 2,328,686,913.28
  5. Step 5: Solve for x
    x = 2,328,686,913.28/75,878.96
  6. Step 6: Final answer
    x = 30,689.49

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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.