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Finding the Fourth Proportional to 255,698.42, 383,486.10 and 78,206.96

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Solution

The fourth proportional to 255,698.42, 383,486.10 and 78,206.96 is: 117,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,698.42 : 383,486.10 = 78,206.96 : x
  2. Step 2: Convert to fraction form
    255,698.42/383,486.10 = 78,206.96/x
  3. Step 3: Cross multiply
    255,698.42x = 383,486.10 × 78,206.96
  4. Step 4: Simplify right side
    255,698.42x = 29,991,282,083.26
  5. Step 5: Solve for x
    x = 29,991,282,083.26/255,698.42
  6. Step 6: Final answer
    x = 117,291.62

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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.