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Finding the Fourth Proportional to 103,511.36, 142,744.20 and 65,720

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Solution

The fourth proportional to 103,511.36, 142,744.20 and 65,720 is: 90,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,511.36 : 142,744.20 = 65,720 : x
  2. Step 2: Convert to fraction form
    103,511.36/142,744.20 = 65,720/x
  3. Step 3: Cross multiply
    103,511.36x = 142,744.20 × 65,720
  4. Step 4: Simplify right side
    103,511.36x = 9,381,148,824
  5. Step 5: Solve for x
    x = 9,381,148,824/103,511.36
  6. Step 6: Final answer
    x = 90,629.17

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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.