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Finding the Fourth Proportional to 102,702, 154,078.96 and 28,830

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Solution

The fourth proportional to 102,702, 154,078.96 and 28,830 is: 43,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702 : 154,078.96 = 28,830 : x
  2. Step 2: Convert to fraction form
    102,702/154,078.96 = 28,830/x
  3. Step 3: Cross multiply
    102,702x = 154,078.96 × 28,830
  4. Step 4: Simplify right side
    102,702x = 4,442,096,416.80
  5. Step 5: Solve for x
    x = 4,442,096,416.80/102,702
  6. Step 6: Final answer
    x = 43,252.29

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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.