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Finding the Fourth Proportional to 207,988.40, 311,982.60 and 102,823.60

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Solution

The fourth proportional to 207,988.40, 311,982.60 and 102,823.60 is: 154,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,988.40 : 311,982.60 = 102,823.60 : x
  2. Step 2: Convert to fraction form
    207,988.40/311,982.60 = 102,823.60/x
  3. Step 3: Cross multiply
    207,988.40x = 311,982.60 × 102,823.60
  4. Step 4: Simplify right side
    207,988.40x = 32,079,174,069.36
  5. Step 5: Solve for x
    x = 32,079,174,069.36/207,988.40
  6. Step 6: Final answer
    x = 154,235.40

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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.