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Finding the Fourth Proportional to 117,115.24, 161,619.90 and 65,432.44

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Solution

The fourth proportional to 117,115.24, 161,619.90 and 65,432.44 is: 90,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,115.24 : 161,619.90 = 65,432.44 : x
  2. Step 2: Convert to fraction form
    117,115.24/161,619.90 = 65,432.44/x
  3. Step 3: Cross multiply
    117,115.24x = 161,619.90 × 65,432.44
  4. Step 4: Simplify right side
    117,115.24x = 10,575,184,409.56
  5. Step 5: Solve for x
    x = 10,575,184,409.56/117,115.24
  6. Step 6: Final answer
    x = 90,297.25

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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.