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Finding the Fourth Proportional to 255,922.74, 383,757.75 and 78,386.94

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Solution

The fourth proportional to 255,922.74, 383,757.75 and 78,386.94 is: 117,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,922.74 : 383,757.75 = 78,386.94 : x
  2. Step 2: Convert to fraction form
    255,922.74/383,757.75 = 78,386.94/x
  3. Step 3: Cross multiply
    255,922.74x = 383,757.75 × 78,386.94
  4. Step 4: Simplify right side
    255,922.74x = 30,081,595,723.79
  5. Step 5: Solve for x
    x = 30,081,595,723.79/255,922.74
  6. Step 6: Final answer
    x = 117,541.71

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1.5x scale

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.