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Finding the Fourth Proportional to 57,161.48, 78,813.14 and 42,008

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Solution

The fourth proportional to 57,161.48, 78,813.14 and 42,008 is: 57,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161.48 : 78,813.14 = 42,008 : x
  2. Step 2: Convert to fraction form
    57,161.48/78,813.14 = 42,008/x
  3. Step 3: Cross multiply
    57,161.48x = 78,813.14 × 42,008
  4. Step 4: Simplify right side
    57,161.48x = 3,310,782,385.12
  5. Step 5: Solve for x
    x = 3,310,782,385.12/57,161.48
  6. Step 6: Final answer
    x = 57,919.82

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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.