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Finding the Fourth Proportional to 255,706.18, 383,522.29 and 78,165.52

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Solution

The fourth proportional to 255,706.18, 383,522.29 and 78,165.52 is: 117,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,706.18 : 383,522.29 = 78,165.52 : x
  2. Step 2: Convert to fraction form
    255,706.18/383,522.29 = 78,165.52/x
  3. Step 3: Cross multiply
    255,706.18x = 383,522.29 × 78,165.52
  4. Step 4: Simplify right side
    255,706.18x = 29,978,219,229.44
  5. Step 5: Solve for x
    x = 29,978,219,229.44/255,706.18
  6. Step 6: Final answer
    x = 117,236.98

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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.