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Finding the Fourth Proportional to 255,902.66, 383,840.13 and 78,410.18

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Solution

The fourth proportional to 255,902.66, 383,840.13 and 78,410.18 is: 117,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.66 : 383,840.13 = 78,410.18 : x
  2. Step 2: Convert to fraction form
    255,902.66/383,840.13 = 78,410.18/x
  3. Step 3: Cross multiply
    255,902.66x = 383,840.13 × 78,410.18
  4. Step 4: Simplify right side
    255,902.66x = 30,096,973,684.52
  5. Step 5: Solve for x
    x = 30,096,973,684.52/255,902.66
  6. Step 6: Final answer
    x = 117,611.03

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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.