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Finding the Fourth Proportional to 53,427, 80,140.53 and 20,154.54

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Solution

The fourth proportional to 53,427, 80,140.53 and 20,154.54 is: 30,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427 : 80,140.53 = 20,154.54 : x
  2. Step 2: Convert to fraction form
    53,427/80,140.53 = 20,154.54/x
  3. Step 3: Cross multiply
    53,427x = 80,140.53 × 20,154.54
  4. Step 4: Simplify right side
    53,427x = 1,615,195,517.51
  5. Step 5: Solve for x
    x = 1,615,195,517.51/53,427
  6. Step 6: Final answer
    x = 30,231.82

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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.