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Finding the Fourth Proportional to 107,920.40, 161,707.80 and 68,406.80

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Solution

The fourth proportional to 107,920.40, 161,707.80 and 68,406.80 is: 102,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,920.40 : 161,707.80 = 68,406.80 : x
  2. Step 2: Convert to fraction form
    107,920.40/161,707.80 = 68,406.80/x
  3. Step 3: Cross multiply
    107,920.40x = 161,707.80 × 68,406.80
  4. Step 4: Simplify right side
    107,920.40x = 11,061,913,133.04
  5. Step 5: Solve for x
    x = 11,061,913,133.04/107,920.40
  6. Step 6: Final answer
    x = 102,500.67

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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.