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Finding the Fourth Proportional to 53,728.50, 80,606.42 and 31,560.63

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Solution

The fourth proportional to 53,728.50, 80,606.42 and 31,560.63 is: 47,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.50 : 80,606.42 = 31,560.63 : x
  2. Step 2: Convert to fraction form
    53,728.50/80,606.42 = 31,560.63/x
  3. Step 3: Cross multiply
    53,728.50x = 80,606.42 × 31,560.63
  4. Step 4: Simplify right side
    53,728.50x = 2,543,989,397.24
  5. Step 5: Solve for x
    x = 2,543,989,397.24/53,728.50
  6. Step 6: Final answer
    x = 47,348.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.