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Finding the Fourth Proportional to 102,991.80, 154,343.70 and 81,967.80

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Solution

The fourth proportional to 102,991.80, 154,343.70 and 81,967.80 is: 122,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.80 : 154,343.70 = 81,967.80 : x
  2. Step 2: Convert to fraction form
    102,991.80/154,343.70 = 81,967.80/x
  3. Step 3: Cross multiply
    102,991.80x = 154,343.70 × 81,967.80
  4. Step 4: Simplify right side
    102,991.80x = 12,651,213,532.86
  5. Step 5: Solve for x
    x = 12,651,213,532.86/102,991.80
  6. Step 6: Final answer
    x = 122,837.10

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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.