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Finding the Fourth Proportional to 102,114.20, 152,952.60 and 82,431.20

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Solution

The fourth proportional to 102,114.20, 152,952.60 and 82,431.20 is: 123,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.20 : 152,952.60 = 82,431.20 : x
  2. Step 2: Convert to fraction form
    102,114.20/152,952.60 = 82,431.20/x
  3. Step 3: Cross multiply
    102,114.20x = 152,952.60 × 82,431.20
  4. Step 4: Simplify right side
    102,114.20x = 12,608,066,361.12
  5. Step 5: Solve for x
    x = 12,608,066,361.12/102,114.20
  6. Step 6: Final answer
    x = 123,470.26

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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.