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Finding the Fourth Proportional to 255,139.44, 382,728.72 and 77,661.60

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Solution

The fourth proportional to 255,139.44, 382,728.72 and 77,661.60 is: 116,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,139.44 : 382,728.72 = 77,661.60 : x
  2. Step 2: Convert to fraction form
    255,139.44/382,728.72 = 77,661.60/x
  3. Step 3: Cross multiply
    255,139.44x = 382,728.72 × 77,661.60
  4. Step 4: Simplify right side
    255,139.44x = 29,723,324,761.15
  5. Step 5: Solve for x
    x = 29,723,324,761.15/255,139.44
  6. Step 6: Final answer
    x = 116,498.35

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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.