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Finding the Fourth Proportional to 102,861.50, 154,052.33 and 100,023.20

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Solution

The fourth proportional to 102,861.50, 154,052.33 and 100,023.20 is: 149,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861.50 : 154,052.33 = 100,023.20 : x
  2. Step 2: Convert to fraction form
    102,861.50/154,052.33 = 100,023.20/x
  3. Step 3: Cross multiply
    102,861.50x = 154,052.33 × 100,023.20
  4. Step 4: Simplify right side
    102,861.50x = 15,408,807,750.55
  5. Step 5: Solve for x
    x = 15,408,807,750.55/102,861.50
  6. Step 6: Final answer
    x = 149,801.51

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1.5x scale

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.