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Finding the Fourth Proportional to 105,450.80, 157,945.80 and 81,892.40

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Solution

The fourth proportional to 105,450.80, 157,945.80 and 81,892.40 is: 122,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,450.80 : 157,945.80 = 81,892.40 : x
  2. Step 2: Convert to fraction form
    105,450.80/157,945.80 = 81,892.40/x
  3. Step 3: Cross multiply
    105,450.80x = 157,945.80 × 81,892.40
  4. Step 4: Simplify right side
    105,450.80x = 12,934,560,631.92
  5. Step 5: Solve for x
    x = 12,934,560,631.92/105,450.80
  6. Step 6: Final answer
    x = 122,659.67

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1.5x scale

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.