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Finding the Fourth Proportional to 75,978, 113,677.88 and 45,881.46

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Solution

The fourth proportional to 75,978, 113,677.88 and 45,881.46 is: 68,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 113,677.88 = 45,881.46 : x
  2. Step 2: Convert to fraction form
    75,978/113,677.88 = 45,881.46/x
  3. Step 3: Cross multiply
    75,978x = 113,677.88 × 45,881.46
  4. Step 4: Simplify right side
    75,978x = 5,215,706,874.70
  5. Step 5: Solve for x
    x = 5,215,706,874.70/75,978
  6. Step 6: Final answer
    x = 68,647.59

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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.