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Finding the Fourth Proportional to 72,808.80, 109,126.80 and 30,688.80

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Solution

The fourth proportional to 72,808.80, 109,126.80 and 30,688.80 is: 45,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.80 : 109,126.80 = 30,688.80 : x
  2. Step 2: Convert to fraction form
    72,808.80/109,126.80 = 30,688.80/x
  3. Step 3: Cross multiply
    72,808.80x = 109,126.80 × 30,688.80
  4. Step 4: Simplify right side
    72,808.80x = 3,348,970,539.84
  5. Step 5: Solve for x
    x = 3,348,970,539.84/72,808.80
  6. Step 6: Final answer
    x = 45,996.78

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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.