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Finding the Fourth Proportional to 129,674.70, 194,512.05 and 40,935.06

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Solution

The fourth proportional to 129,674.70, 194,512.05 and 40,935.06 is: 61,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,674.70 : 194,512.05 = 40,935.06 : x
  2. Step 2: Convert to fraction form
    129,674.70/194,512.05 = 40,935.06/x
  3. Step 3: Cross multiply
    129,674.70x = 194,512.05 × 40,935.06
  4. Step 4: Simplify right side
    129,674.70x = 7,962,362,437.47
  5. Step 5: Solve for x
    x = 7,962,362,437.47/129,674.70
  6. Step 6: Final answer
    x = 61,402.59

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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.