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Finding the Fourth Proportional to 76,343.80, 114,539.70 and 36,902.20

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Solution

The fourth proportional to 76,343.80, 114,539.70 and 36,902.20 is: 55,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,343.80 : 114,539.70 = 36,902.20 : x
  2. Step 2: Convert to fraction form
    76,343.80/114,539.70 = 36,902.20/x
  3. Step 3: Cross multiply
    76,343.80x = 114,539.70 × 36,902.20
  4. Step 4: Simplify right side
    76,343.80x = 4,226,766,917.34
  5. Step 5: Solve for x
    x = 4,226,766,917.34/76,343.80
  6. Step 6: Final answer
    x = 55,364.90

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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.