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Finding the Fourth Proportional to 76,188.67, 114,281.79 and 20,784.67

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Solution

The fourth proportional to 76,188.67, 114,281.79 and 20,784.67 is: 31,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.67 : 114,281.79 = 20,784.67 : x
  2. Step 2: Convert to fraction form
    76,188.67/114,281.79 = 20,784.67/x
  3. Step 3: Cross multiply
    76,188.67x = 114,281.79 × 20,784.67
  4. Step 4: Simplify right side
    76,188.67x = 2,375,309,292.16
  5. Step 5: Solve for x
    x = 2,375,309,292.16/76,188.67
  6. Step 6: Final answer
    x = 31,176.67

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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.