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Finding the Fourth Proportional to 117,152, 161,698.92 and 66,880.16

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Solution

The fourth proportional to 117,152, 161,698.92 and 66,880.16 is: 92,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,152 : 161,698.92 = 66,880.16 : x
  2. Step 2: Convert to fraction form
    117,152/161,698.92 = 66,880.16/x
  3. Step 3: Cross multiply
    117,152x = 161,698.92 × 66,880.16
  4. Step 4: Simplify right side
    117,152x = 10,814,449,641.43
  5. Step 5: Solve for x
    x = 10,814,449,641.43/117,152
  6. Step 6: Final answer
    x = 92,311.27

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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.