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Finding the Fourth Proportional to 55,242.96, 82,864.40 and 13,689.96

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Solution

The fourth proportional to 55,242.96, 82,864.40 and 13,689.96 is: 20,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.96 : 82,864.40 = 13,689.96 : x
  2. Step 2: Convert to fraction form
    55,242.96/82,864.40 = 13,689.96/x
  3. Step 3: Cross multiply
    55,242.96x = 82,864.40 × 13,689.96
  4. Step 4: Simplify right side
    55,242.96x = 1,134,410,252.97
  5. Step 5: Solve for x
    x = 1,134,410,252.97/55,242.96
  6. Step 6: Final answer
    x = 20,534.93

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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.