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Finding the Fourth Proportional to 78,109.36, 107,792.76 and 44,578.48

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Solution

The fourth proportional to 78,109.36, 107,792.76 and 44,578.48 is: 61,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.36 : 107,792.76 = 44,578.48 : x
  2. Step 2: Convert to fraction form
    78,109.36/107,792.76 = 44,578.48/x
  3. Step 3: Cross multiply
    78,109.36x = 107,792.76 × 44,578.48
  4. Step 4: Simplify right side
    78,109.36x = 4,805,237,395.80
  5. Step 5: Solve for x
    x = 4,805,237,395.80/78,109.36
  6. Step 6: Final answer
    x = 61,519.35

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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.