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Finding the Fourth Proportional to 255,910.72, 383,866.08 and 78,417.04

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Solution

The fourth proportional to 255,910.72, 383,866.08 and 78,417.04 is: 117,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,910.72 : 383,866.08 = 78,417.04 : x
  2. Step 2: Convert to fraction form
    255,910.72/383,866.08 = 78,417.04/x
  3. Step 3: Cross multiply
    255,910.72x = 383,866.08 × 78,417.04
  4. Step 4: Simplify right side
    255,910.72x = 30,101,641,750.00
  5. Step 5: Solve for x
    x = 30,101,641,750.00/255,910.72
  6. Step 6: Final answer
    x = 117,625.56

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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.