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Finding the Fourth Proportional to 57,063.60, 85,416 and 39,189.60

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Solution

The fourth proportional to 57,063.60, 85,416 and 39,189.60 is: 58,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,063.60 : 85,416 = 39,189.60 : x
  2. Step 2: Convert to fraction form
    57,063.60/85,416 = 39,189.60/x
  3. Step 3: Cross multiply
    57,063.60x = 85,416 × 39,189.60
  4. Step 4: Simplify right side
    57,063.60x = 3,347,418,873.60
  5. Step 5: Solve for x
    x = 3,347,418,873.60/57,063.60
  6. Step 6: Final answer
    x = 58,661.19

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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.