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Finding the Fourth Proportional to 255,659.07, 383,488.61 and 78,166.08

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Solution

The fourth proportional to 255,659.07, 383,488.61 and 78,166.08 is: 117,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,659.07 : 383,488.61 = 78,166.08 : x
  2. Step 2: Convert to fraction form
    255,659.07/383,488.61 = 78,166.08/x
  3. Step 3: Cross multiply
    255,659.07x = 383,488.61 × 78,166.08
  4. Step 4: Simplify right side
    255,659.07x = 29,975,800,977.52
  5. Step 5: Solve for x
    x = 29,975,800,977.52/255,659.07
  6. Step 6: Final answer
    x = 117,249.12

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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.