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Finding the Fourth Proportional to 277,751.70, 416,627.55 and 90,782.10

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Solution

The fourth proportional to 277,751.70, 416,627.55 and 90,782.10 is: 136,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,751.70 : 416,627.55 = 90,782.10 : x
  2. Step 2: Convert to fraction form
    277,751.70/416,627.55 = 90,782.10/x
  3. Step 3: Cross multiply
    277,751.70x = 416,627.55 × 90,782.10
  4. Step 4: Simplify right side
    277,751.70x = 37,822,323,906.86
  5. Step 5: Solve for x
    x = 37,822,323,906.86/277,751.70
  6. Step 6: Final answer
    x = 136,173.15

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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.