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Finding the Fourth Proportional to 255,702.82, 383,569.61 and 78,211.37

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Solution

The fourth proportional to 255,702.82, 383,569.61 and 78,211.37 is: 117,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702.82 : 383,569.61 = 78,211.37 : x
  2. Step 2: Convert to fraction form
    255,702.82/383,569.61 = 78,211.37/x
  3. Step 3: Cross multiply
    255,702.82x = 383,569.61 × 78,211.37
  4. Step 4: Simplify right side
    255,702.82x = 29,999,504,111.24
  5. Step 5: Solve for x
    x = 29,999,504,111.24/255,702.82
  6. Step 6: Final answer
    x = 117,321.76

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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.