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Finding the Fourth Proportional to 57,785.76, 86,630 and 28,188.32

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Solution

The fourth proportional to 57,785.76, 86,630 and 28,188.32 is: 42,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.76 : 86,630 = 28,188.32 : x
  2. Step 2: Convert to fraction form
    57,785.76/86,630 = 28,188.32/x
  3. Step 3: Cross multiply
    57,785.76x = 86,630 × 28,188.32
  4. Step 4: Simplify right side
    57,785.76x = 2,441,954,161.60
  5. Step 5: Solve for x
    x = 2,441,954,161.60/57,785.76
  6. Step 6: Final answer
    x = 42,258.75

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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.