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Finding the Fourth Proportional to 149,405.30, 209,692.30 and 149,405.30

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Solution

The fourth proportional to 149,405.30, 209,692.30 and 149,405.30 is: 209,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.30 : 209,692.30 = 149,405.30 : x
  2. Step 2: Convert to fraction form
    149,405.30/209,692.30 = 149,405.30/x
  3. Step 3: Cross multiply
    149,405.30x = 209,692.30 × 149,405.30
  4. Step 4: Simplify right side
    149,405.30x = 31,329,140,989.19
  5. Step 5: Solve for x
    x = 31,329,140,989.19/149,405.30
  6. Step 6: Final answer
    x = 209,692.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.