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Finding the Fourth Proportional to 102,990.50, 154,486.68 and 40,661

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Solution

The fourth proportional to 102,990.50, 154,486.68 and 40,661 is: 60,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990.50 : 154,486.68 = 40,661 : x
  2. Step 2: Convert to fraction form
    102,990.50/154,486.68 = 40,661/x
  3. Step 3: Cross multiply
    102,990.50x = 154,486.68 × 40,661
  4. Step 4: Simplify right side
    102,990.50x = 6,281,582,895.48
  5. Step 5: Solve for x
    x = 6,281,582,895.48/102,990.50
  6. Step 6: Final answer
    x = 60,991.87

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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.