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Finding the Fourth Proportional to 123,980.85, 185,880.15 and 39,692.25

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Solution

The fourth proportional to 123,980.85, 185,880.15 and 39,692.25 is: 59,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,980.85 : 185,880.15 = 39,692.25 : x
  2. Step 2: Convert to fraction form
    123,980.85/185,880.15 = 39,692.25/x
  3. Step 3: Cross multiply
    123,980.85x = 185,880.15 × 39,692.25
  4. Step 4: Simplify right side
    123,980.85x = 7,378,001,383.84
  5. Step 5: Solve for x
    x = 7,378,001,383.84/123,980.85
  6. Step 6: Final answer
    x = 59,509.20

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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.