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Finding the Fourth Proportional to 255,725.32, 383,657.64 and 78,228.40

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Solution

The fourth proportional to 255,725.32, 383,657.64 and 78,228.40 is: 117,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,725.32 : 383,657.64 = 78,228.40 : x
  2. Step 2: Convert to fraction form
    255,725.32/383,657.64 = 78,228.40/x
  3. Step 3: Cross multiply
    255,725.32x = 383,657.64 × 78,228.40
  4. Step 4: Simplify right side
    255,725.32x = 30,012,923,324.98
  5. Step 5: Solve for x
    x = 30,012,923,324.98/255,725.32
  6. Step 6: Final answer
    x = 117,363.91

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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.