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Finding the Fourth Proportional to 255,703.95, 383,571.30 and 78,212.50

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Solution

The fourth proportional to 255,703.95, 383,571.30 and 78,212.50 is: 117,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,703.95 : 383,571.30 = 78,212.50 : x
  2. Step 2: Convert to fraction form
    255,703.95/383,571.30 = 78,212.50/x
  3. Step 3: Cross multiply
    255,703.95x = 383,571.30 × 78,212.50
  4. Step 4: Simplify right side
    255,703.95x = 30,000,067,992.33
  5. Step 5: Solve for x
    x = 30,000,067,992.33/255,703.95
  6. Step 6: Final answer
    x = 117,323.45

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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.