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Finding the Fourth Proportional to 53,967.81, 80,948.64 and 20,686.53

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Solution

The fourth proportional to 53,967.81, 80,948.64 and 20,686.53 is: 31,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,967.81 : 80,948.64 = 20,686.53 : x
  2. Step 2: Convert to fraction form
    53,967.81/80,948.64 = 20,686.53/x
  3. Step 3: Cross multiply
    53,967.81x = 80,948.64 × 20,686.53
  4. Step 4: Simplify right side
    53,967.81x = 1,674,546,469.82
  5. Step 5: Solve for x
    x = 1,674,546,469.82/53,967.81
  6. Step 6: Final answer
    x = 31,028.62

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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.