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Finding the Fourth Proportional to 76,180.50, 114,271.02 and 20,776.50

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Solution

The fourth proportional to 76,180.50, 114,271.02 and 20,776.50 is: 31,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.50 : 114,271.02 = 20,776.50 : x
  2. Step 2: Convert to fraction form
    76,180.50/114,271.02 = 20,776.50/x
  3. Step 3: Cross multiply
    76,180.50x = 114,271.02 × 20,776.50
  4. Step 4: Simplify right side
    76,180.50x = 2,374,151,847.03
  5. Step 5: Solve for x
    x = 2,374,151,847.03/76,180.50
  6. Step 6: Final answer
    x = 31,164.82

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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.