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Finding the Fourth Proportional to 102,990.20, 154,744.11 and 65,566.98

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Solution

The fourth proportional to 102,990.20, 154,744.11 and 65,566.98 is: 98,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990.20 : 154,744.11 = 65,566.98 : x
  2. Step 2: Convert to fraction form
    102,990.20/154,744.11 = 65,566.98/x
  3. Step 3: Cross multiply
    102,990.20x = 154,744.11 × 65,566.98
  4. Step 4: Simplify right side
    102,990.20x = 10,146,103,965.49
  5. Step 5: Solve for x
    x = 10,146,103,965.49/102,990.20
  6. Step 6: Final answer
    x = 98,515.24

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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.