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Finding the Fourth Proportional to 129,638.56, 194,393.04 and 59,458

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Solution

The fourth proportional to 129,638.56, 194,393.04 and 59,458 is: 89,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.56 : 194,393.04 = 59,458 : x
  2. Step 2: Convert to fraction form
    129,638.56/194,393.04 = 59,458/x
  3. Step 3: Cross multiply
    129,638.56x = 194,393.04 × 59,458
  4. Step 4: Simplify right side
    129,638.56x = 11,558,221,372.32
  5. Step 5: Solve for x
    x = 11,558,221,372.32/129,638.56
  6. Step 6: Final answer
    x = 89,157.28

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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.