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Finding the Fourth Proportional to 102,939.20, 154,408.80 and 71,446.40

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Solution

The fourth proportional to 102,939.20, 154,408.80 and 71,446.40 is: 107,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,939.20 : 154,408.80 = 71,446.40 : x
  2. Step 2: Convert to fraction form
    102,939.20/154,408.80 = 71,446.40/x
  3. Step 3: Cross multiply
    102,939.20x = 154,408.80 × 71,446.40
  4. Step 4: Simplify right side
    102,939.20x = 11,031,952,888.32
  5. Step 5: Solve for x
    x = 11,031,952,888.32/102,939.20
  6. Step 6: Final answer
    x = 107,169.60

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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.