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Finding the Fourth Proportional to 228,570.73, 342,878.63 and 78,791.30

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Solution

The fourth proportional to 228,570.73, 342,878.63 and 78,791.30 is: 118,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,570.73 : 342,878.63 = 78,791.30 : x
  2. Step 2: Convert to fraction form
    228,570.73/342,878.63 = 78,791.30/x
  3. Step 3: Cross multiply
    228,570.73x = 342,878.63 × 78,791.30
  4. Step 4: Simplify right side
    228,570.73x = 27,015,852,177.36
  5. Step 5: Solve for x
    x = 27,015,852,177.36/228,570.73
  6. Step 6: Final answer
    x = 118,194.72

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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.