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Finding the Fourth Proportional to 102,406.68, 141,288.84 and 80,828.28

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Solution

The fourth proportional to 102,406.68, 141,288.84 and 80,828.28 is: 111,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.68 : 141,288.84 = 80,828.28 : x
  2. Step 2: Convert to fraction form
    102,406.68/141,288.84 = 80,828.28/x
  3. Step 3: Cross multiply
    102,406.68x = 141,288.84 × 80,828.28
  4. Step 4: Simplify right side
    102,406.68x = 11,420,133,920.40
  5. Step 5: Solve for x
    x = 11,420,133,920.40/102,406.68
  6. Step 6: Final answer
    x = 111,517.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.