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Finding the Fourth Proportional to 129,423.51, 194,122.51 and 40,674.65

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Solution

The fourth proportional to 129,423.51, 194,122.51 and 40,674.65 is: 61,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,423.51 : 194,122.51 = 40,674.65 : x
  2. Step 2: Convert to fraction form
    129,423.51/194,122.51 = 40,674.65/x
  3. Step 3: Cross multiply
    129,423.51x = 194,122.51 × 40,674.65
  4. Step 4: Simplify right side
    129,423.51x = 7,895,864,079.07
  5. Step 5: Solve for x
    x = 7,895,864,079.07/129,423.51
  6. Step 6: Final answer
    x = 61,007.96

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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.