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Finding the Fourth Proportional to 121,496.82, 182,306.70 and 81,970.89

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Solution

The fourth proportional to 121,496.82, 182,306.70 and 81,970.89 is: 122,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,496.82 : 182,306.70 = 81,970.89 : x
  2. Step 2: Convert to fraction form
    121,496.82/182,306.70 = 81,970.89/x
  3. Step 3: Cross multiply
    121,496.82x = 182,306.70 × 81,970.89
  4. Step 4: Simplify right side
    121,496.82x = 14,943,842,451.96
  5. Step 5: Solve for x
    x = 14,943,842,451.96/121,496.82
  6. Step 6: Final answer
    x = 122,997.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.