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Finding the Fourth Proportional to 57,858.44, 86,762.14 and 20,407.48

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Solution

The fourth proportional to 57,858.44, 86,762.14 and 20,407.48 is: 30,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858.44 : 86,762.14 = 20,407.48 : x
  2. Step 2: Convert to fraction form
    57,858.44/86,762.14 = 20,407.48/x
  3. Step 3: Cross multiply
    57,858.44x = 86,762.14 × 20,407.48
  4. Step 4: Simplify right side
    57,858.44x = 1,770,596,368.88
  5. Step 5: Solve for x
    x = 1,770,596,368.88/57,858.44
  6. Step 6: Final answer
    x = 30,602.22

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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.