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Finding the Fourth Proportional to 277,338.86, 416,070.56 and 87,810.54

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Solution

The fourth proportional to 277,338.86, 416,070.56 and 87,810.54 is: 131,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,338.86 : 416,070.56 = 87,810.54 : x
  2. Step 2: Convert to fraction form
    277,338.86/416,070.56 = 87,810.54/x
  3. Step 3: Cross multiply
    277,338.86x = 416,070.56 × 87,810.54
  4. Step 4: Simplify right side
    277,338.86x = 36,535,380,551.70
  5. Step 5: Solve for x
    x = 36,535,380,551.70/277,338.86
  6. Step 6: Final answer
    x = 131,735.53

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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.