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Finding the Fourth Proportional to 57,978.96, 79,969.56 and 53,214.36

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Solution

The fourth proportional to 57,978.96, 79,969.56 and 53,214.36 is: 73,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.96 : 79,969.56 = 53,214.36 : x
  2. Step 2: Convert to fraction form
    57,978.96/79,969.56 = 53,214.36/x
  3. Step 3: Cross multiply
    57,978.96x = 79,969.56 × 53,214.36
  4. Step 4: Simplify right side
    57,978.96x = 4,255,528,954.88
  5. Step 5: Solve for x
    x = 4,255,528,954.88/57,978.96
  6. Step 6: Final answer
    x = 73,397.81

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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.