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Finding the Fourth Proportional to 55,133.28, 82,699.94 and 13,580.28

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Solution

The fourth proportional to 55,133.28, 82,699.94 and 13,580.28 is: 20,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,133.28 : 82,699.94 = 13,580.28 : x
  2. Step 2: Convert to fraction form
    55,133.28/82,699.94 = 13,580.28/x
  3. Step 3: Cross multiply
    55,133.28x = 82,699.94 × 13,580.28
  4. Step 4: Simplify right side
    55,133.28x = 1,123,088,341.18
  5. Step 5: Solve for x
    x = 1,123,088,341.18/55,133.28
  6. Step 6: Final answer
    x = 20,370.42

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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.