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Finding the Fourth Proportional to 102,979.80, 154,469.70 and 98,168.40

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Solution

The fourth proportional to 102,979.80, 154,469.70 and 98,168.40 is: 147,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,979.80 : 154,469.70 = 98,168.40 : x
  2. Step 2: Convert to fraction form
    102,979.80/154,469.70 = 98,168.40/x
  3. Step 3: Cross multiply
    102,979.80x = 154,469.70 × 98,168.40
  4. Step 4: Simplify right side
    102,979.80x = 15,164,043,297.48
  5. Step 5: Solve for x
    x = 15,164,043,297.48/102,979.80
  6. Step 6: Final answer
    x = 147,252.60

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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.