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Finding the Fourth Proportional to 117,114.74, 161,619.21 and 65,431.94

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Solution

The fourth proportional to 117,114.74, 161,619.21 and 65,431.94 is: 90,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.74 : 161,619.21 = 65,431.94 : x
  2. Step 2: Convert to fraction form
    117,114.74/161,619.21 = 65,431.94/x
  3. Step 3: Cross multiply
    117,114.74x = 161,619.21 × 65,431.94
  4. Step 4: Simplify right side
    117,114.74x = 10,575,058,451.57
  5. Step 5: Solve for x
    x = 10,575,058,451.57/117,114.74
  6. Step 6: Final answer
    x = 90,296.56

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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.