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Finding the Fourth Proportional to 71,815.24, 107,715.24 and 19,230.04

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Solution

The fourth proportional to 71,815.24, 107,715.24 and 19,230.04 is: 28,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815.24 : 107,715.24 = 19,230.04 : x
  2. Step 2: Convert to fraction form
    71,815.24/107,715.24 = 19,230.04/x
  3. Step 3: Cross multiply
    71,815.24x = 107,715.24 × 19,230.04
  4. Step 4: Simplify right side
    71,815.24x = 2,071,368,373.81
  5. Step 5: Solve for x
    x = 2,071,368,373.81/71,815.24
  6. Step 6: Final answer
    x = 28,843.02

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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.