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Finding the Fourth Proportional to 255,765, 383,712.65 and 75,856.98

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Solution

The fourth proportional to 255,765, 383,712.65 and 75,856.98 is: 113,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,765 : 383,712.65 = 75,856.98 : x
  2. Step 2: Convert to fraction form
    255,765/383,712.65 = 75,856.98/x
  3. Step 3: Cross multiply
    255,765x = 383,712.65 × 75,856.98
  4. Step 4: Simplify right side
    255,765x = 29,107,282,816.80
  5. Step 5: Solve for x
    x = 29,107,282,816.80/255,765
  6. Step 6: Final answer
    x = 113,804.79

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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.