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Finding the Fourth Proportional to 208,512, 312,825.60 and 60,768

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Solution

The fourth proportional to 208,512, 312,825.60 and 60,768 is: 91,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512 : 312,825.60 = 60,768 : x
  2. Step 2: Convert to fraction form
    208,512/312,825.60 = 60,768/x
  3. Step 3: Cross multiply
    208,512x = 312,825.60 × 60,768
  4. Step 4: Simplify right side
    208,512x = 19,009,786,060.80
  5. Step 5: Solve for x
    x = 19,009,786,060.80/208,512
  6. Step 6: Final answer
    x = 91,168.79

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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.