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Finding the Fourth Proportional to 117,138.30, 161,647.88 and 65,455.84

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Solution

The fourth proportional to 117,138.30, 161,647.88 and 65,455.84 is: 90,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138.30 : 161,647.88 = 65,455.84 : x
  2. Step 2: Convert to fraction form
    117,138.30/161,647.88 = 65,455.84/x
  3. Step 3: Cross multiply
    117,138.30x = 161,647.88 × 65,455.84
  4. Step 4: Simplify right side
    117,138.30x = 10,580,797,769.62
  5. Step 5: Solve for x
    x = 10,580,797,769.62/117,138.30
  6. Step 6: Final answer
    x = 90,327.40

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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.