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Finding the Fourth Proportional to 52,287.67, 78,446.90 and 19,007.21

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Solution

The fourth proportional to 52,287.67, 78,446.90 and 19,007.21 is: 28,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.67 : 78,446.90 = 19,007.21 : x
  2. Step 2: Convert to fraction form
    52,287.67/78,446.90 = 19,007.21/x
  3. Step 3: Cross multiply
    52,287.67x = 78,446.90 × 19,007.21
  4. Step 4: Simplify right side
    52,287.67x = 1,491,056,607.11
  5. Step 5: Solve for x
    x = 1,491,056,607.11/52,287.67
  6. Step 6: Final answer
    x = 28,516.41

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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.