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Finding the Fourth Proportional to 170,138.41, 255,207.60 and 51,809.76

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Solution

The fourth proportional to 170,138.41, 255,207.60 and 51,809.76 is: 77,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,138.41 : 255,207.60 = 51,809.76 : x
  2. Step 2: Convert to fraction form
    170,138.41/255,207.60 = 51,809.76/x
  3. Step 3: Cross multiply
    170,138.41x = 255,207.60 × 51,809.76
  4. Step 4: Simplify right side
    170,138.41x = 13,222,244,506.18
  5. Step 5: Solve for x
    x = 13,222,244,506.18/170,138.41
  6. Step 6: Final answer
    x = 77,714.64

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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.