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Finding the Fourth Proportional to 117,090, 161,540.10 and 76,825.98

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Solution

The fourth proportional to 117,090, 161,540.10 and 76,825.98 is: 105,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,090 : 161,540.10 = 76,825.98 : x
  2. Step 2: Convert to fraction form
    117,090/161,540.10 = 76,825.98/x
  3. Step 3: Cross multiply
    117,090x = 161,540.10 × 76,825.98
  4. Step 4: Simplify right side
    117,090x = 12,410,476,491.80
  5. Step 5: Solve for x
    x = 12,410,476,491.80/117,090
  6. Step 6: Final answer
    x = 105,990.92

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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.