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Finding the Fourth Proportional to 81,512.10, 114,324.30 and 81,512.10

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Solution

The fourth proportional to 81,512.10, 114,324.30 and 81,512.10 is: 114,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,512.10 : 114,324.30 = 81,512.10 : x
  2. Step 2: Convert to fraction form
    81,512.10/114,324.30 = 81,512.10/x
  3. Step 3: Cross multiply
    81,512.10x = 114,324.30 × 81,512.10
  4. Step 4: Simplify right side
    81,512.10x = 9,318,813,774.03
  5. Step 5: Solve for x
    x = 9,318,813,774.03/81,512.10
  6. Step 6: Final answer
    x = 114,324.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.