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Finding the Fourth Proportional to 57,715.14, 86,580.03 and 18,258

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Solution

The fourth proportional to 57,715.14, 86,580.03 and 18,258 is: 27,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.14 : 86,580.03 = 18,258 : x
  2. Step 2: Convert to fraction form
    57,715.14/86,580.03 = 18,258/x
  3. Step 3: Cross multiply
    57,715.14x = 86,580.03 × 18,258
  4. Step 4: Simplify right side
    57,715.14x = 1,580,778,187.74
  5. Step 5: Solve for x
    x = 1,580,778,187.74/57,715.14
  6. Step 6: Final answer
    x = 27,389.32

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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.