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Finding the Fourth Proportional to 171,128.32, 256,598.52 and 52,766.80

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Solution

The fourth proportional to 171,128.32, 256,598.52 and 52,766.80 is: 79,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,128.32 : 256,598.52 = 52,766.80 : x
  2. Step 2: Convert to fraction form
    171,128.32/256,598.52 = 52,766.80/x
  3. Step 3: Cross multiply
    171,128.32x = 256,598.52 × 52,766.80
  4. Step 4: Simplify right side
    171,128.32x = 13,539,882,785.14
  5. Step 5: Solve for x
    x = 13,539,882,785.14/171,128.32
  6. Step 6: Final answer
    x = 79,121.23

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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.