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Finding the Fourth Proportional to 102,986.40, 154,220.40 and 67,735.20

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Solution

The fourth proportional to 102,986.40, 154,220.40 and 67,735.20 is: 101,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.40 : 154,220.40 = 67,735.20 : x
  2. Step 2: Convert to fraction form
    102,986.40/154,220.40 = 67,735.20/x
  3. Step 3: Cross multiply
    102,986.40x = 154,220.40 × 67,735.20
  4. Step 4: Simplify right side
    102,986.40x = 10,446,149,638.08
  5. Step 5: Solve for x
    x = 10,446,149,638.08/102,986.40
  6. Step 6: Final answer
    x = 101,432.32

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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.