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Finding the Fourth Proportional to 277,557.60, 416,081.24 and 100,021.20

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Solution

The fourth proportional to 277,557.60, 416,081.24 and 100,021.20 is: 149,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,557.60 : 416,081.24 = 100,021.20 : x
  2. Step 2: Convert to fraction form
    277,557.60/416,081.24 = 100,021.20/x
  3. Step 3: Cross multiply
    277,557.60x = 416,081.24 × 100,021.20
  4. Step 4: Simplify right side
    277,557.60x = 41,616,944,922.29
  5. Step 5: Solve for x
    x = 41,616,944,922.29/277,557.60
  6. Step 6: Final answer
    x = 149,939.85

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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.