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Finding the Fourth Proportional to 277,822.98, 416,759.01 and 78,145.02

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Solution

The fourth proportional to 277,822.98, 416,759.01 and 78,145.02 is: 117,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822.98 : 416,759.01 = 78,145.02 : x
  2. Step 2: Convert to fraction form
    277,822.98/416,759.01 = 78,145.02/x
  3. Step 3: Cross multiply
    277,822.98x = 416,759.01 × 78,145.02
  4. Step 4: Simplify right side
    277,822.98x = 32,567,641,171.63
  5. Step 5: Solve for x
    x = 32,567,641,171.63/277,822.98
  6. Step 6: Final answer
    x = 117,224.43

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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.