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Finding the Fourth Proportional to 57,505.60, 86,207.20 and 51,284.80

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Solution

The fourth proportional to 57,505.60, 86,207.20 and 51,284.80 is: 76,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,505.60 : 86,207.20 = 51,284.80 : x
  2. Step 2: Convert to fraction form
    57,505.60/86,207.20 = 51,284.80/x
  3. Step 3: Cross multiply
    57,505.60x = 86,207.20 × 51,284.80
  4. Step 4: Simplify right side
    57,505.60x = 4,421,119,010.56
  5. Step 5: Solve for x
    x = 4,421,119,010.56/57,505.60
  6. Step 6: Final answer
    x = 76,881.54

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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.