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Finding the Fourth Proportional to 57,546.51, 79,350.71 and 39,400.22

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Solution

The fourth proportional to 57,546.51, 79,350.71 and 39,400.22 is: 54,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,546.51 : 79,350.71 = 39,400.22 : x
  2. Step 2: Convert to fraction form
    57,546.51/79,350.71 = 39,400.22/x
  3. Step 3: Cross multiply
    57,546.51x = 79,350.71 × 39,400.22
  4. Step 4: Simplify right side
    57,546.51x = 3,126,434,837.40
  5. Step 5: Solve for x
    x = 3,126,434,837.40/57,546.51
  6. Step 6: Final answer
    x = 54,328.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.