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Finding the Fourth Proportional to 102,891.80, 154,337.70 and 91,738.10

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Solution

The fourth proportional to 102,891.80, 154,337.70 and 91,738.10 is: 137,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,891.80 : 154,337.70 = 91,738.10 : x
  2. Step 2: Convert to fraction form
    102,891.80/154,337.70 = 91,738.10/x
  3. Step 3: Cross multiply
    102,891.80x = 154,337.70 × 91,738.10
  4. Step 4: Simplify right side
    102,891.80x = 14,158,647,356.37
  5. Step 5: Solve for x
    x = 14,158,647,356.37/102,891.80
  6. Step 6: Final answer
    x = 137,607.15

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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.