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Finding the Fourth Proportional to 128,951.41, 177,949.48 and 77,297.68

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Solution

The fourth proportional to 128,951.41, 177,949.48 and 77,297.68 is: 106,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,951.41 : 177,949.48 = 77,297.68 : x
  2. Step 2: Convert to fraction form
    128,951.41/177,949.48 = 77,297.68/x
  3. Step 3: Cross multiply
    128,951.41x = 177,949.48 × 77,297.68
  4. Step 4: Simplify right side
    128,951.41x = 13,755,082,480.67
  5. Step 5: Solve for x
    x = 13,755,082,480.67/128,951.41
  6. Step 6: Final answer
    x = 106,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.