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Finding the Fourth Proportional to 75,891, 104,729.58 and 42,357

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Solution

The fourth proportional to 75,891, 104,729.58 and 42,357 is: 58,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891 : 104,729.58 = 42,357 : x
  2. Step 2: Convert to fraction form
    75,891/104,729.58 = 42,357/x
  3. Step 3: Cross multiply
    75,891x = 104,729.58 × 42,357
  4. Step 4: Simplify right side
    75,891x = 4,436,030,820.06
  5. Step 5: Solve for x
    x = 4,436,030,820.06/75,891
  6. Step 6: Final answer
    x = 58,452.66

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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.