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Finding the Fourth Proportional to 53,378.67, 80,040.79 and 17,827.19

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Solution

The fourth proportional to 53,378.67, 80,040.79 and 17,827.19 is: 26,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378.67 : 80,040.79 = 17,827.19 : x
  2. Step 2: Convert to fraction form
    53,378.67/80,040.79 = 17,827.19/x
  3. Step 3: Cross multiply
    53,378.67x = 80,040.79 × 17,827.19
  4. Step 4: Simplify right side
    53,378.67x = 1,426,902,371.08
  5. Step 5: Solve for x
    x = 1,426,902,371.08/53,378.67
  6. Step 6: Final answer
    x = 26,731.70

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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.