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Finding the Fourth Proportional to 142,563.84, 196,720.84 and 82,154.28

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Solution

The fourth proportional to 142,563.84, 196,720.84 and 82,154.28 is: 113,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,563.84 : 196,720.84 = 82,154.28 : x
  2. Step 2: Convert to fraction form
    142,563.84/196,720.84 = 82,154.28/x
  3. Step 3: Cross multiply
    142,563.84x = 196,720.84 × 82,154.28
  4. Step 4: Simplify right side
    142,563.84x = 16,161,458,971.20
  5. Step 5: Solve for x
    x = 16,161,458,971.20/142,563.84
  6. Step 6: Final answer
    x = 113,362.96

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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.