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Finding the Fourth Proportional to 107,612.80, 161,346.30 and 57,020.20

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Solution

The fourth proportional to 107,612.80, 161,346.30 and 57,020.20 is: 85,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,612.80 : 161,346.30 = 57,020.20 : x
  2. Step 2: Convert to fraction form
    107,612.80/161,346.30 = 57,020.20/x
  3. Step 3: Cross multiply
    107,612.80x = 161,346.30 × 57,020.20
  4. Step 4: Simplify right side
    107,612.80x = 9,199,998,295.26
  5. Step 5: Solve for x
    x = 9,199,998,295.26/107,612.80
  6. Step 6: Final answer
    x = 85,491.67

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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.