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Finding the Fourth Proportional to 255,205.54, 382,863.66 and 77,707.90

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Solution

The fourth proportional to 255,205.54, 382,863.66 and 77,707.90 is: 116,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205.54 : 382,863.66 = 77,707.90 : x
  2. Step 2: Convert to fraction form
    255,205.54/382,863.66 = 77,707.90/x
  3. Step 3: Cross multiply
    255,205.54x = 382,863.66 × 77,707.90
  4. Step 4: Simplify right side
    255,205.54x = 29,751,531,004.91
  5. Step 5: Solve for x
    x = 29,751,531,004.91/255,205.54
  6. Step 6: Final answer
    x = 116,578.70

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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.