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Finding the Fourth Proportional to 75,853, 113,779.50 and 20,449

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Solution

The fourth proportional to 75,853, 113,779.50 and 20,449 is: 30,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,853 : 113,779.50 = 20,449 : x
  2. Step 2: Convert to fraction form
    75,853/113,779.50 = 20,449/x
  3. Step 3: Cross multiply
    75,853x = 113,779.50 × 20,449
  4. Step 4: Simplify right side
    75,853x = 2,326,676,995.50
  5. Step 5: Solve for x
    x = 2,326,676,995.50/75,853
  6. Step 6: Final answer
    x = 30,673.50

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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.