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Finding the Fourth Proportional to 129,737.30, 194,692.51 and 45,497.40

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Solution

The fourth proportional to 129,737.30, 194,692.51 and 45,497.40 is: 68,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,737.30 : 194,692.51 = 45,497.40 : x
  2. Step 2: Convert to fraction form
    129,737.30/194,692.51 = 45,497.40/x
  3. Step 3: Cross multiply
    129,737.30x = 194,692.51 × 45,497.40
  4. Step 4: Simplify right side
    129,737.30x = 8,858,002,331.25
  5. Step 5: Solve for x
    x = 8,858,002,331.25/129,737.30
  6. Step 6: Final answer
    x = 68,276.45

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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.