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Finding the Fourth Proportional to 53,382.32, 80,047.02 and 31,201.28

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Solution

The fourth proportional to 53,382.32, 80,047.02 and 31,201.28 is: 46,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,382.32 : 80,047.02 = 31,201.28 : x
  2. Step 2: Convert to fraction form
    53,382.32/80,047.02 = 31,201.28/x
  3. Step 3: Cross multiply
    53,382.32x = 80,047.02 × 31,201.28
  4. Step 4: Simplify right side
    53,382.32x = 2,497,569,484.19
  5. Step 5: Solve for x
    x = 2,497,569,484.19/53,382.32
  6. Step 6: Final answer
    x = 46,786.45

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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.