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Finding the Fourth Proportional to 129,838.40, 194,743.20 and 36,353.60

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Solution

The fourth proportional to 129,838.40, 194,743.20 and 36,353.60 is: 54,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838.40 : 194,743.20 = 36,353.60 : x
  2. Step 2: Convert to fraction form
    129,838.40/194,743.20 = 36,353.60/x
  3. Step 3: Cross multiply
    129,838.40x = 194,743.20 × 36,353.60
  4. Step 4: Simplify right side
    129,838.40x = 7,079,616,395.52
  5. Step 5: Solve for x
    x = 7,079,616,395.52/129,838.40
  6. Step 6: Final answer
    x = 54,526.37

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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.