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Finding the Fourth Proportional to 57,833.59, 86,751 and 20,386.68

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Solution

The fourth proportional to 57,833.59, 86,751 and 20,386.68 is: 30,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833.59 : 86,751 = 20,386.68 : x
  2. Step 2: Convert to fraction form
    57,833.59/86,751 = 20,386.68/x
  3. Step 3: Cross multiply
    57,833.59x = 86,751 × 20,386.68
  4. Step 4: Simplify right side
    57,833.59x = 1,768,564,876.68
  5. Step 5: Solve for x
    x = 1,768,564,876.68/57,833.59
  6. Step 6: Final answer
    x = 30,580.24

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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.