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Finding the Fourth Proportional to 277,689.06, 416,447.43 and 100,172.90

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Solution

The fourth proportional to 277,689.06, 416,447.43 and 100,172.90 is: 150,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,689.06 : 416,447.43 = 100,172.90 : x
  2. Step 2: Convert to fraction form
    277,689.06/416,447.43 = 100,172.90/x
  3. Step 3: Cross multiply
    277,689.06x = 416,447.43 × 100,172.90
  4. Step 4: Simplify right side
    277,689.06x = 41,716,747,426.12
  5. Step 5: Solve for x
    x = 41,716,747,426.12/277,689.06
  6. Step 6: Final answer
    x = 150,228.27

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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.