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Finding the Fourth Proportional to 129,970.70, 194,974.65 and 40,021.03

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Solution

The fourth proportional to 129,970.70, 194,974.65 and 40,021.03 is: 60,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,970.70 : 194,974.65 = 40,021.03 : x
  2. Step 2: Convert to fraction form
    129,970.70/194,974.65 = 40,021.03/x
  3. Step 3: Cross multiply
    129,970.70x = 194,974.65 × 40,021.03
  4. Step 4: Simplify right side
    129,970.70x = 7,803,085,342.02
  5. Step 5: Solve for x
    x = 7,803,085,342.02/129,970.70
  6. Step 6: Final answer
    x = 60,037.26

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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.