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Finding the Fourth Proportional to 43,201.86, 64,709.02 and 20,968.51

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Solution

The fourth proportional to 43,201.86, 64,709.02 and 20,968.51 is: 31,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201.86 : 64,709.02 = 20,968.51 : x
  2. Step 2: Convert to fraction form
    43,201.86/64,709.02 = 20,968.51/x
  3. Step 3: Cross multiply
    43,201.86x = 64,709.02 × 20,968.51
  4. Step 4: Simplify right side
    43,201.86x = 1,356,851,732.96
  5. Step 5: Solve for x
    x = 1,356,851,732.96/43,201.86
  6. Step 6: Final answer
    x = 31,407.25

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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.