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Finding the Fourth Proportional to 85,735.32, 128,540.67 and 35,829.68

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Solution

The fourth proportional to 85,735.32, 128,540.67 and 35,829.68 is: 53,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,735.32 : 128,540.67 = 35,829.68 : x
  2. Step 2: Convert to fraction form
    85,735.32/128,540.67 = 35,829.68/x
  3. Step 3: Cross multiply
    85,735.32x = 128,540.67 × 35,829.68
  4. Step 4: Simplify right side
    85,735.32x = 4,605,571,073.09
  5. Step 5: Solve for x
    x = 4,605,571,073.09/85,735.32
  6. Step 6: Final answer
    x = 53,718.48

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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.