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Finding the Fourth Proportional to 255,694.59, 383,557.01 and 78,213.87

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Solution

The fourth proportional to 255,694.59, 383,557.01 and 78,213.87 is: 117,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,694.59 : 383,557.01 = 78,213.87 : x
  2. Step 2: Convert to fraction form
    255,694.59/383,557.01 = 78,213.87/x
  3. Step 3: Cross multiply
    255,694.59x = 383,557.01 × 78,213.87
  4. Step 4: Simplify right side
    255,694.59x = 29,999,477,726.66
  5. Step 5: Solve for x
    x = 29,999,477,726.66/255,694.59
  6. Step 6: Final answer
    x = 117,325.43

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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.