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Finding the Fourth Proportional to 255,584.28, 383,413.44 and 78,068.52

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Solution

The fourth proportional to 255,584.28, 383,413.44 and 78,068.52 is: 117,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,584.28 : 383,413.44 = 78,068.52 : x
  2. Step 2: Convert to fraction form
    255,584.28/383,413.44 = 78,068.52/x
  3. Step 3: Cross multiply
    255,584.28x = 383,413.44 × 78,068.52
  4. Step 4: Simplify right side
    255,584.28x = 29,932,519,808.91
  5. Step 5: Solve for x
    x = 29,932,519,808.91/255,584.28
  6. Step 6: Final answer
    x = 117,114.09

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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.