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Finding the Fourth Proportional to 72,879.90, 109,368.45 and 33,416.70

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Solution

The fourth proportional to 72,879.90, 109,368.45 and 33,416.70 is: 50,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,879.90 : 109,368.45 = 33,416.70 : x
  2. Step 2: Convert to fraction form
    72,879.90/109,368.45 = 33,416.70/x
  3. Step 3: Cross multiply
    72,879.90x = 109,368.45 × 33,416.70
  4. Step 4: Simplify right side
    72,879.90x = 3,654,732,683.12
  5. Step 5: Solve for x
    x = 3,654,732,683.12/72,879.90
  6. Step 6: Final answer
    x = 50,147.33

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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.