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Finding the Fourth Proportional to 228,570.66, 342,878.55 and 78,791.23

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Solution

The fourth proportional to 228,570.66, 342,878.55 and 78,791.23 is: 118,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,570.66 : 342,878.55 = 78,791.23 : x
  2. Step 2: Convert to fraction form
    228,570.66/342,878.55 = 78,791.23/x
  3. Step 3: Cross multiply
    228,570.66x = 342,878.55 × 78,791.23
  4. Step 4: Simplify right side
    228,570.66x = 27,015,821,837.92
  5. Step 5: Solve for x
    x = 27,015,821,837.92/228,570.66
  6. Step 6: Final answer
    x = 118,194.62

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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.