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Finding the Fourth Proportional to 75,873, 104,704.80 and 42,339

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Solution

The fourth proportional to 75,873, 104,704.80 and 42,339 is: 58,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873 : 104,704.80 = 42,339 : x
  2. Step 2: Convert to fraction form
    75,873/104,704.80 = 42,339/x
  3. Step 3: Cross multiply
    75,873x = 104,704.80 × 42,339
  4. Step 4: Simplify right side
    75,873x = 4,433,096,527.20
  5. Step 5: Solve for x
    x = 4,433,096,527.20/75,873
  6. Step 6: Final answer
    x = 58,427.85

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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.