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Finding the Fourth Proportional to 78,661.78, 108,593.49 and 53,302.16

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Solution

The fourth proportional to 78,661.78, 108,593.49 and 53,302.16 is: 73,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,661.78 : 108,593.49 = 53,302.16 : x
  2. Step 2: Convert to fraction form
    78,661.78/108,593.49 = 53,302.16/x
  3. Step 3: Cross multiply
    78,661.78x = 108,593.49 × 53,302.16
  4. Step 4: Simplify right side
    78,661.78x = 5,788,267,578.94
  5. Step 5: Solve for x
    x = 5,788,267,578.94/78,661.78
  6. Step 6: Final answer
    x = 73,584.24

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Why These Related Problems?

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