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Finding the Fourth Proportional to 55,048.52, 75,965.36 and 31,177.28

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Solution

The fourth proportional to 55,048.52, 75,965.36 and 31,177.28 is: 43,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,048.52 : 75,965.36 = 31,177.28 : x
  2. Step 2: Convert to fraction form
    55,048.52/75,965.36 = 31,177.28/x
  3. Step 3: Cross multiply
    55,048.52x = 75,965.36 × 31,177.28
  4. Step 4: Simplify right side
    55,048.52x = 2,368,393,299.02
  5. Step 5: Solve for x
    x = 2,368,393,299.02/55,048.52
  6. Step 6: Final answer
    x = 43,023.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.