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Finding the Fourth Proportional to 57,715.32, 86,564.32 and 18,267.32

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Solution

The fourth proportional to 57,715.32, 86,564.32 and 18,267.32 is: 27,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.32 : 86,564.32 = 18,267.32 : x
  2. Step 2: Convert to fraction form
    57,715.32/86,564.32 = 18,267.32/x
  3. Step 3: Cross multiply
    57,715.32x = 86,564.32 × 18,267.32
  4. Step 4: Simplify right side
    57,715.32x = 1,581,298,134.02
  5. Step 5: Solve for x
    x = 1,581,298,134.02/57,715.32
  6. Step 6: Final answer
    x = 27,398.24

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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.