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Finding the Fourth Proportional to 139,692.21, 209,538.32 and 34,513.17

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Solution

The fourth proportional to 139,692.21, 209,538.32 and 34,513.17 is: 51,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,692.21 : 209,538.32 = 34,513.17 : x
  2. Step 2: Convert to fraction form
    139,692.21/209,538.32 = 34,513.17/x
  3. Step 3: Cross multiply
    139,692.21x = 209,538.32 × 34,513.17
  4. Step 4: Simplify right side
    139,692.21x = 7,231,831,487.11
  5. Step 5: Solve for x
    x = 7,231,831,487.11/139,692.21
  6. Step 6: Final answer
    x = 51,769.76

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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.