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Finding the Fourth Proportional to 136,276, 188,063.76 and 76,660

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Solution

The fourth proportional to 136,276, 188,063.76 and 76,660 is: 105,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,276 : 188,063.76 = 76,660 : x
  2. Step 2: Convert to fraction form
    136,276/188,063.76 = 76,660/x
  3. Step 3: Cross multiply
    136,276x = 188,063.76 × 76,660
  4. Step 4: Simplify right side
    136,276x = 14,416,967,841.60
  5. Step 5: Solve for x
    x = 14,416,967,841.60/136,276
  6. Step 6: Final answer
    x = 105,792.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.