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Finding the Fourth Proportional to 129,675.75, 194,513.63 and 42,123.75

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Solution

The fourth proportional to 129,675.75, 194,513.63 and 42,123.75 is: 63,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,675.75 : 194,513.63 = 42,123.75 : x
  2. Step 2: Convert to fraction form
    129,675.75/194,513.63 = 42,123.75/x
  3. Step 3: Cross multiply
    129,675.75x = 194,513.63 × 42,123.75
  4. Step 4: Simplify right side
    129,675.75x = 8,193,643,311.09
  5. Step 5: Solve for x
    x = 8,193,643,311.09/129,675.75
  6. Step 6: Final answer
    x = 63,185.63

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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.