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Finding the Fourth Proportional to 205,951.60, 308,927.40 and 87,626.80

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Solution

The fourth proportional to 205,951.60, 308,927.40 and 87,626.80 is: 131,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,951.60 : 308,927.40 = 87,626.80 : x
  2. Step 2: Convert to fraction form
    205,951.60/308,927.40 = 87,626.80/x
  3. Step 3: Cross multiply
    205,951.60x = 308,927.40 × 87,626.80
  4. Step 4: Simplify right side
    205,951.60x = 27,070,319,494.32
  5. Step 5: Solve for x
    x = 27,070,319,494.32/205,951.60
  6. Step 6: Final answer
    x = 131,440.20

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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.