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Finding the Fourth Proportional to 55,411.56, 83,068.04 and 20,343

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Solution

The fourth proportional to 55,411.56, 83,068.04 and 20,343 is: 30,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,411.56 : 83,068.04 = 20,343 : x
  2. Step 2: Convert to fraction form
    55,411.56/83,068.04 = 20,343/x
  3. Step 3: Cross multiply
    55,411.56x = 83,068.04 × 20,343
  4. Step 4: Simplify right side
    55,411.56x = 1,689,853,137.72
  5. Step 5: Solve for x
    x = 1,689,853,137.72/55,411.56
  6. Step 6: Final answer
    x = 30,496.40

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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.