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Finding the Fourth Proportional to 131,022.88, 196,532.49 and 74,742.88

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Solution

The fourth proportional to 131,022.88, 196,532.49 and 74,742.88 is: 112,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,022.88 : 196,532.49 = 74,742.88 : x
  2. Step 2: Convert to fraction form
    131,022.88/196,532.49 = 74,742.88/x
  3. Step 3: Cross multiply
    131,022.88x = 196,532.49 × 74,742.88
  4. Step 4: Simplify right side
    131,022.88x = 14,689,404,316.17
  5. Step 5: Solve for x
    x = 14,689,404,316.17/131,022.88
  6. Step 6: Final answer
    x = 112,113.28

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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.