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Finding the Fourth Proportional to 102,939.70, 154,409.55 and 98,857.30

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Solution

The fourth proportional to 102,939.70, 154,409.55 and 98,857.30 is: 148,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939.70 : 154,409.55 = 98,857.30 : x
  2. Step 2: Convert to fraction form
    102,939.70/154,409.55 = 98,857.30/x
  3. Step 3: Cross multiply
    102,939.70x = 154,409.55 × 98,857.30
  4. Step 4: Simplify right side
    102,939.70x = 15,264,511,207.22
  5. Step 5: Solve for x
    x = 15,264,511,207.22/102,939.70
  6. Step 6: Final answer
    x = 148,285.95

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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.