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Finding the Fourth Proportional to 255,833.29, 383,750.84 and 78,339.52

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Solution

The fourth proportional to 255,833.29, 383,750.84 and 78,339.52 is: 117,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,833.29 : 383,750.84 = 78,339.52 : x
  2. Step 2: Convert to fraction form
    255,833.29/383,750.84 = 78,339.52/x
  3. Step 3: Cross multiply
    255,833.29x = 383,750.84 × 78,339.52
  4. Step 4: Simplify right side
    255,833.29x = 30,062,856,213.50
  5. Step 5: Solve for x
    x = 30,062,856,213.50/255,833.29
  6. Step 6: Final answer
    x = 117,509.56

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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.