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Finding the Fourth Proportional to 53,722.67, 80,189.64 and 49,764.20

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Solution

The fourth proportional to 53,722.67, 80,189.64 and 49,764.20 is: 74,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,722.67 : 80,189.64 = 49,764.20 : x
  2. Step 2: Convert to fraction form
    53,722.67/80,189.64 = 49,764.20/x
  3. Step 3: Cross multiply
    53,722.67x = 80,189.64 × 49,764.20
  4. Step 4: Simplify right side
    53,722.67x = 3,990,572,881.94
  5. Step 5: Solve for x
    x = 3,990,572,881.94/53,722.67
  6. Step 6: Final answer
    x = 74,280.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.