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Finding the Fourth Proportional to 255,450.92, 383,235.96 and 77,957.60

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Solution

The fourth proportional to 255,450.92, 383,235.96 and 77,957.60 is: 116,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,450.92 : 383,235.96 = 77,957.60 : x
  2. Step 2: Convert to fraction form
    255,450.92/383,235.96 = 77,957.60/x
  3. Step 3: Cross multiply
    255,450.92x = 383,235.96 × 77,957.60
  4. Step 4: Simplify right side
    255,450.92x = 29,876,155,675.30
  5. Step 5: Solve for x
    x = 29,876,155,675.30/255,450.92
  6. Step 6: Final answer
    x = 116,954.58

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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.