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Finding the Fourth Proportional to 57,381.80, 85,975.60 and 35,148.80

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Solution

The fourth proportional to 57,381.80, 85,975.60 and 35,148.80 is: 52,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.80 : 85,975.60 = 35,148.80 : x
  2. Step 2: Convert to fraction form
    57,381.80/85,975.60 = 35,148.80/x
  3. Step 3: Cross multiply
    57,381.80x = 85,975.60 × 35,148.80
  4. Step 4: Simplify right side
    57,381.80x = 3,021,939,169.28
  5. Step 5: Solve for x
    x = 3,021,939,169.28/57,381.80
  6. Step 6: Final answer
    x = 52,663.72

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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.