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Finding the Fourth Proportional to 103,031.20, 154,546.80 and 36,470.80

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Solution

The fourth proportional to 103,031.20, 154,546.80 and 36,470.80 is: 54,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,031.20 : 154,546.80 = 36,470.80 : x
  2. Step 2: Convert to fraction form
    103,031.20/154,546.80 = 36,470.80/x
  3. Step 3: Cross multiply
    103,031.20x = 154,546.80 × 36,470.80
  4. Step 4: Simplify right side
    103,031.20x = 5,636,445,433.44
  5. Step 5: Solve for x
    x = 5,636,445,433.44/103,031.20
  6. Step 6: Final answer
    x = 54,706.20

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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.