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Finding the Fourth Proportional to 255,710.36, 383,584.98 and 78,230.72

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Solution

The fourth proportional to 255,710.36, 383,584.98 and 78,230.72 is: 117,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,710.36 : 383,584.98 = 78,230.72 : x
  2. Step 2: Convert to fraction form
    255,710.36/383,584.98 = 78,230.72/x
  3. Step 3: Cross multiply
    255,710.36x = 383,584.98 × 78,230.72
  4. Step 4: Simplify right side
    255,710.36x = 30,008,129,166.59
  5. Step 5: Solve for x
    x = 30,008,129,166.59/255,710.36
  6. Step 6: Final answer
    x = 117,352.03

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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.