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Finding the Fourth Proportional to 57,602.58, 86,442.77 and 20,162.96

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Solution

The fourth proportional to 57,602.58, 86,442.77 and 20,162.96 is: 30,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602.58 : 86,442.77 = 20,162.96 : x
  2. Step 2: Convert to fraction form
    57,602.58/86,442.77 = 20,162.96/x
  3. Step 3: Cross multiply
    57,602.58x = 86,442.77 × 20,162.96
  4. Step 4: Simplify right side
    57,602.58x = 1,742,942,364.13
  5. Step 5: Solve for x
    x = 1,742,942,364.13/57,602.58
  6. Step 6: Final answer
    x = 30,258.06

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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.