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Finding the Fourth Proportional to 129,141.74, 193,723.78 and 35,647.50

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Solution

The fourth proportional to 129,141.74, 193,723.78 and 35,647.50 is: 53,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141.74 : 193,723.78 = 35,647.50 : x
  2. Step 2: Convert to fraction form
    129,141.74/193,723.78 = 35,647.50/x
  3. Step 3: Cross multiply
    129,141.74x = 193,723.78 × 35,647.50
  4. Step 4: Simplify right side
    129,141.74x = 6,905,768,447.55
  5. Step 5: Solve for x
    x = 6,905,768,447.55/129,141.74
  6. Step 6: Final answer
    x = 53,474.33

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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.