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Finding the Fourth Proportional to 188,512, 260,015.76 and 128,048.80

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Solution

The fourth proportional to 188,512, 260,015.76 and 128,048.80 is: 176,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,512 : 260,015.76 = 128,048.80 : x
  2. Step 2: Convert to fraction form
    188,512/260,015.76 = 128,048.80/x
  3. Step 3: Cross multiply
    188,512x = 260,015.76 × 128,048.80
  4. Step 4: Simplify right side
    188,512x = 33,294,706,049.09
  5. Step 5: Solve for x
    x = 33,294,706,049.09/188,512
  6. Step 6: Final answer
    x = 176,618.50

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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.