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Finding the Fourth Proportional to 152,728.54, 210,766.53 and 84,745.78

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Solution

The fourth proportional to 152,728.54, 210,766.53 and 84,745.78 is: 116,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,728.54 : 210,766.53 = 84,745.78 : x
  2. Step 2: Convert to fraction form
    152,728.54/210,766.53 = 84,745.78/x
  3. Step 3: Cross multiply
    152,728.54x = 210,766.53 × 84,745.78
  4. Step 4: Simplify right side
    152,728.54x = 17,861,573,982.74
  5. Step 5: Solve for x
    x = 17,861,573,982.74/152,728.54
  6. Step 6: Final answer
    x = 116,949.81

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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.