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Finding the Fourth Proportional to 255,938.46, 383,981.48 and 78,471.65

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Solution

The fourth proportional to 255,938.46, 383,981.48 and 78,471.65 is: 117,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,938.46 : 383,981.48 = 78,471.65 : x
  2. Step 2: Convert to fraction form
    255,938.46/383,981.48 = 78,471.65/x
  3. Step 3: Cross multiply
    255,938.46x = 383,981.48 × 78,471.65
  4. Step 4: Simplify right side
    255,938.46x = 30,131,657,992.78
  5. Step 5: Solve for x
    x = 30,131,657,992.78/255,938.46
  6. Step 6: Final answer
    x = 117,730.09

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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.