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Finding the Fourth Proportional to 133,692.40, 200,475.96 and 77,548.60

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Solution

The fourth proportional to 133,692.40, 200,475.96 and 77,548.60 is: 116,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.40 : 200,475.96 = 77,548.60 : x
  2. Step 2: Convert to fraction form
    133,692.40/200,475.96 = 77,548.60/x
  3. Step 3: Cross multiply
    133,692.40x = 200,475.96 × 77,548.60
  4. Step 4: Simplify right side
    133,692.40x = 15,546,630,031.66
  5. Step 5: Solve for x
    x = 15,546,630,031.66/133,692.40
  6. Step 6: Final answer
    x = 116,286.57

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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.