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Finding the Fourth Proportional to 75,994.32, 113,987.16 and 20,586

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Solution

The fourth proportional to 75,994.32, 113,987.16 and 20,586 is: 30,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,994.32 : 113,987.16 = 20,586 : x
  2. Step 2: Convert to fraction form
    75,994.32/113,987.16 = 20,586/x
  3. Step 3: Cross multiply
    75,994.32x = 113,987.16 × 20,586
  4. Step 4: Simplify right side
    75,994.32x = 2,346,539,675.76
  5. Step 5: Solve for x
    x = 2,346,539,675.76/75,994.32
  6. Step 6: Final answer
    x = 30,877.83

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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.