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Finding the Fourth Proportional to 115,920, 159,969.60 and 65,619

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Solution

The fourth proportional to 115,920, 159,969.60 and 65,619 is: 90,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,920 : 159,969.60 = 65,619 : x
  2. Step 2: Convert to fraction form
    115,920/159,969.60 = 65,619/x
  3. Step 3: Cross multiply
    115,920x = 159,969.60 × 65,619
  4. Step 4: Simplify right side
    115,920x = 10,497,045,182.40
  5. Step 5: Solve for x
    x = 10,497,045,182.40/115,920
  6. Step 6: Final answer
    x = 90,554.22

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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.