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Finding the Fourth Proportional to 55,157.84, 82,723.08 and 15,715.29

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Solution

The fourth proportional to 55,157.84, 82,723.08 and 15,715.29 is: 23,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157.84 : 82,723.08 = 15,715.29 : x
  2. Step 2: Convert to fraction form
    55,157.84/82,723.08 = 15,715.29/x
  3. Step 3: Cross multiply
    55,157.84x = 82,723.08 × 15,715.29
  4. Step 4: Simplify right side
    55,157.84x = 1,300,017,191.89
  5. Step 5: Solve for x
    x = 1,300,017,191.89/55,157.84
  6. Step 6: Final answer
    x = 23,569.04

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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.