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Finding the Fourth Proportional to 133,508.20, 199,970.70 and 103,692.10

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Solution

The fourth proportional to 133,508.20, 199,970.70 and 103,692.10 is: 155,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,508.20 : 199,970.70 = 103,692.10 : x
  2. Step 2: Convert to fraction form
    133,508.20/199,970.70 = 103,692.10/x
  3. Step 3: Cross multiply
    133,508.20x = 199,970.70 × 103,692.10
  4. Step 4: Simplify right side
    133,508.20x = 20,735,381,821.47
  5. Step 5: Solve for x
    x = 20,735,381,821.47/133,508.20
  6. Step 6: Final answer
    x = 155,311.67

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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.