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Finding the Fourth Proportional to 81,000.40, 121,414.20 and 31,061.20

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Solution

The fourth proportional to 81,000.40, 121,414.20 and 31,061.20 is: 46,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000.40 : 121,414.20 = 31,061.20 : x
  2. Step 2: Convert to fraction form
    81,000.40/121,414.20 = 31,061.20/x
  3. Step 3: Cross multiply
    81,000.40x = 121,414.20 × 31,061.20
  4. Step 4: Simplify right side
    81,000.40x = 3,771,270,749.04
  5. Step 5: Solve for x
    x = 3,771,270,749.04/81,000.40
  6. Step 6: Final answer
    x = 46,558.67

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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.