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Finding the Fourth Proportional to 207,871.20, 311,806.80 and 144,885.60

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Solution

The fourth proportional to 207,871.20, 311,806.80 and 144,885.60 is: 217,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,871.20 : 311,806.80 = 144,885.60 : x
  2. Step 2: Convert to fraction form
    207,871.20/311,806.80 = 144,885.60/x
  3. Step 3: Cross multiply
    207,871.20x = 311,806.80 × 144,885.60
  4. Step 4: Simplify right side
    207,871.20x = 45,176,315,302.08
  5. Step 5: Solve for x
    x = 45,176,315,302.08/207,871.20
  6. Step 6: Final answer
    x = 217,328.40

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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.