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Finding the Fourth Proportional to 170,076.96, 255,128.40 and 51,758.40

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Solution

The fourth proportional to 170,076.96, 255,128.40 and 51,758.40 is: 77,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,076.96 : 255,128.40 = 51,758.40 : x
  2. Step 2: Convert to fraction form
    170,076.96/255,128.40 = 51,758.40/x
  3. Step 3: Cross multiply
    170,076.96x = 255,128.40 × 51,758.40
  4. Step 4: Simplify right side
    170,076.96x = 13,205,037,778.56
  5. Step 5: Solve for x
    x = 13,205,037,778.56/170,076.96
  6. Step 6: Final answer
    x = 77,641.54

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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.