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Finding the Fourth Proportional to 57,477.92, 86,186.10 and 25,427.84

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Solution

The fourth proportional to 57,477.92, 86,186.10 and 25,427.84 is: 38,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477.92 : 86,186.10 = 25,427.84 : x
  2. Step 2: Convert to fraction form
    57,477.92/86,186.10 = 25,427.84/x
  3. Step 3: Cross multiply
    57,477.92x = 86,186.10 × 25,427.84
  4. Step 4: Simplify right side
    57,477.92x = 2,191,526,361.02
  5. Step 5: Solve for x
    x = 2,191,526,361.02/57,477.92
  6. Step 6: Final answer
    x = 38,128.14

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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.