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Finding the Fourth Proportional to 102,934.20, 154,401.30 and 71,441.40

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Solution

The fourth proportional to 102,934.20, 154,401.30 and 71,441.40 is: 107,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,934.20 : 154,401.30 = 71,441.40 : x
  2. Step 2: Convert to fraction form
    102,934.20/154,401.30 = 71,441.40/x
  3. Step 3: Cross multiply
    102,934.20x = 154,401.30 × 71,441.40
  4. Step 4: Simplify right side
    102,934.20x = 11,030,645,033.82
  5. Step 5: Solve for x
    x = 11,030,645,033.82/102,934.20
  6. Step 6: Final answer
    x = 107,162.10

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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.