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Finding the Fourth Proportional to 255,838.76, 383,759.07 and 78,345.05

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Solution

The fourth proportional to 255,838.76, 383,759.07 and 78,345.05 is: 117,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,838.76 : 383,759.07 = 78,345.05 : x
  2. Step 2: Convert to fraction form
    255,838.76/383,759.07 = 78,345.05/x
  3. Step 3: Cross multiply
    255,838.76x = 383,759.07 × 78,345.05
  4. Step 4: Simplify right side
    255,838.76x = 30,065,623,527.10
  5. Step 5: Solve for x
    x = 30,065,623,527.10/255,838.76
  6. Step 6: Final answer
    x = 117,517.86

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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.