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Finding the Fourth Proportional to 75,833.94, 113,820.75 and 38,420.04

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Solution

The fourth proportional to 75,833.94, 113,820.75 and 38,420.04 is: 57,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,833.94 : 113,820.75 = 38,420.04 : x
  2. Step 2: Convert to fraction form
    75,833.94/113,820.75 = 38,420.04/x
  3. Step 3: Cross multiply
    75,833.94x = 113,820.75 × 38,420.04
  4. Step 4: Simplify right side
    75,833.94x = 4,372,997,767.83
  5. Step 5: Solve for x
    x = 4,372,997,767.83/75,833.94
  6. Step 6: Final answer
    x = 57,665.44

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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.