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Finding the Fourth Proportional to 255,884.72, 383,842.26 and 78,393.47

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Solution

The fourth proportional to 255,884.72, 383,842.26 and 78,393.47 is: 117,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,884.72 : 383,842.26 = 78,393.47 : x
  2. Step 2: Convert to fraction form
    255,884.72/383,842.26 = 78,393.47/x
  3. Step 3: Cross multiply
    255,884.72x = 383,842.26 × 78,393.47
  4. Step 4: Simplify right side
    255,884.72x = 30,090,724,774.83
  5. Step 5: Solve for x
    x = 30,090,724,774.83/255,884.72
  6. Step 6: Final answer
    x = 117,594.85

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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.