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Finding the Fourth Proportional to 117,116.94, 161,604 and 71,152.68

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Solution

The fourth proportional to 117,116.94, 161,604 and 71,152.68 is: 98,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,116.94 : 161,604 = 71,152.68 : x
  2. Step 2: Convert to fraction form
    117,116.94/161,604 = 71,152.68/x
  3. Step 3: Cross multiply
    117,116.94x = 161,604 × 71,152.68
  4. Step 4: Simplify right side
    117,116.94x = 11,498,557,698.72
  5. Step 5: Solve for x
    x = 11,498,557,698.72/117,116.94
  6. Step 6: Final answer
    x = 98,180.14

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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.