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Finding the Fourth Proportional to 255,732.80, 383,565.60 and 78,257.60

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Solution

The fourth proportional to 255,732.80, 383,565.60 and 78,257.60 is: 117,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,732.80 : 383,565.60 = 78,257.60 : x
  2. Step 2: Convert to fraction form
    255,732.80/383,565.60 = 78,257.60/x
  3. Step 3: Cross multiply
    255,732.80x = 383,565.60 × 78,257.60
  4. Step 4: Simplify right side
    255,732.80x = 30,016,923,298.56
  5. Step 5: Solve for x
    x = 30,016,923,298.56/255,732.80
  6. Step 6: Final answer
    x = 117,376.12

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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.