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Finding the Fourth Proportional to 255,269.91, 382,961.97 and 77,790.81

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Solution

The fourth proportional to 255,269.91, 382,961.97 and 77,790.81 is: 116,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,269.91 : 382,961.97 = 77,790.81 : x
  2. Step 2: Convert to fraction form
    255,269.91/382,961.97 = 77,790.81/x
  3. Step 3: Cross multiply
    255,269.91x = 382,961.97 × 77,790.81
  4. Step 4: Simplify right side
    255,269.91x = 29,790,921,845.50
  5. Step 5: Solve for x
    x = 29,790,921,845.50/255,269.91
  6. Step 6: Final answer
    x = 116,703.62

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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.