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Finding the Fourth Proportional to 129,662.60, 194,493.90 and 106,315.40

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Solution

The fourth proportional to 129,662.60, 194,493.90 and 106,315.40 is: 159,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,662.60 : 194,493.90 = 106,315.40 : x
  2. Step 2: Convert to fraction form
    129,662.60/194,493.90 = 106,315.40/x
  3. Step 3: Cross multiply
    129,662.60x = 194,493.90 × 106,315.40
  4. Step 4: Simplify right side
    129,662.60x = 20,677,696,776.06
  5. Step 5: Solve for x
    x = 20,677,696,776.06/129,662.60
  6. Step 6: Final answer
    x = 159,473.10

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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.