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Finding the Fourth Proportional to 117,086, 161,648.34 and 76,870.13

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Solution

The fourth proportional to 117,086, 161,648.34 and 76,870.13 is: 106,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,086 : 161,648.34 = 76,870.13 : x
  2. Step 2: Convert to fraction form
    117,086/161,648.34 = 76,870.13/x
  3. Step 3: Cross multiply
    117,086x = 161,648.34 × 76,870.13
  4. Step 4: Simplify right side
    117,086x = 12,425,928,910.08
  5. Step 5: Solve for x
    x = 12,425,928,910.08/117,086
  6. Step 6: Final answer
    x = 106,126.51

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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.