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Finding the Fourth Proportional to 85,706.85, 128,481.51 and 29,533.59

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Solution

The fourth proportional to 85,706.85, 128,481.51 and 29,533.59 is: 44,273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,706.85 : 128,481.51 = 29,533.59 : x
  2. Step 2: Convert to fraction form
    85,706.85/128,481.51 = 29,533.59/x
  3. Step 3: Cross multiply
    85,706.85x = 128,481.51 × 29,533.59
  4. Step 4: Simplify right side
    85,706.85x = 3,794,520,238.92
  5. Step 5: Solve for x
    x = 3,794,520,238.92/85,706.85
  6. Step 6: Final answer
    x = 44,273.24

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1.5x scale

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.