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Finding the Fourth Proportional to 205,100.40, 307,650.60 and 116,319.60

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Solution

The fourth proportional to 205,100.40, 307,650.60 and 116,319.60 is: 174,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,100.40 : 307,650.60 = 116,319.60 : x
  2. Step 2: Convert to fraction form
    205,100.40/307,650.60 = 116,319.60/x
  3. Step 3: Cross multiply
    205,100.40x = 307,650.60 × 116,319.60
  4. Step 4: Simplify right side
    205,100.40x = 35,785,794,731.76
  5. Step 5: Solve for x
    x = 35,785,794,731.76/205,100.40
  6. Step 6: Final answer
    x = 174,479.40

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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.