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Finding the Fourth Proportional to 255,590.95, 383,455.45 and 78,093.12

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Solution

The fourth proportional to 255,590.95, 383,455.45 and 78,093.12 is: 117,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,590.95 : 383,455.45 = 78,093.12 : x
  2. Step 2: Convert to fraction form
    255,590.95/383,455.45 = 78,093.12/x
  3. Step 3: Cross multiply
    255,590.95x = 383,455.45 × 78,093.12
  4. Step 4: Simplify right side
    255,590.95x = 29,945,232,471.50
  5. Step 5: Solve for x
    x = 29,945,232,471.50/255,590.95
  6. Step 6: Final answer
    x = 117,160.77

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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.