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Finding the Fourth Proportional to 131,313.96, 196,952.31 and 74,971.17

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Solution

The fourth proportional to 131,313.96, 196,952.31 and 74,971.17 is: 112,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,313.96 : 196,952.31 = 74,971.17 : x
  2. Step 2: Convert to fraction form
    131,313.96/196,952.31 = 74,971.17/x
  3. Step 3: Cross multiply
    131,313.96x = 196,952.31 × 74,971.17
  4. Step 4: Simplify right side
    131,313.96x = 14,765,745,114.90
  5. Step 5: Solve for x
    x = 14,765,745,114.90/131,313.96
  6. Step 6: Final answer
    x = 112,446.12

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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.