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Finding the Fourth Proportional to 55,157.68, 82,722.85 and 15,715.14

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Solution

The fourth proportional to 55,157.68, 82,722.85 and 15,715.14 is: 23,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157.68 : 82,722.85 = 15,715.14 : x
  2. Step 2: Convert to fraction form
    55,157.68/82,722.85 = 15,715.14/x
  3. Step 3: Cross multiply
    55,157.68x = 82,722.85 × 15,715.14
  4. Step 4: Simplify right side
    55,157.68x = 1,300,001,168.95
  5. Step 5: Solve for x
    x = 1,300,001,168.95/55,157.68
  6. Step 6: Final answer
    x = 23,568.82

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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.