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Finding the Fourth Proportional to 255,787.41, 383,615.65 and 75,830.76

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Solution

The fourth proportional to 255,787.41, 383,615.65 and 75,830.76 is: 113,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,787.41 : 383,615.65 = 75,830.76 : x
  2. Step 2: Convert to fraction form
    255,787.41/383,615.65 = 75,830.76/x
  3. Step 3: Cross multiply
    255,787.41x = 383,615.65 × 75,830.76
  4. Step 4: Simplify right side
    255,787.41x = 29,089,863,990.16
  5. Step 5: Solve for x
    x = 29,089,863,990.16/255,787.41
  6. Step 6: Final answer
    x = 113,726.72

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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.