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Finding the Fourth Proportional to 57,458.60, 86,185 and 20,007.08

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Solution

The fourth proportional to 57,458.60, 86,185 and 20,007.08 is: 30,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,458.60 : 86,185 = 20,007.08 : x
  2. Step 2: Convert to fraction form
    57,458.60/86,185 = 20,007.08/x
  3. Step 3: Cross multiply
    57,458.60x = 86,185 × 20,007.08
  4. Step 4: Simplify right side
    57,458.60x = 1,724,310,189.80
  5. Step 5: Solve for x
    x = 1,724,310,189.80/57,458.60
  6. Step 6: Final answer
    x = 30,009.61

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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.