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Finding the Fourth Proportional to 140,164.65, 210,274.67 and 51,418.92

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Solution

The fourth proportional to 140,164.65, 210,274.67 and 51,418.92 is: 77,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,164.65 : 210,274.67 = 51,418.92 : x
  2. Step 2: Convert to fraction form
    140,164.65/210,274.67 = 51,418.92/x
  3. Step 3: Cross multiply
    140,164.65x = 210,274.67 × 51,418.92
  4. Step 4: Simplify right side
    140,164.65x = 10,812,096,177.66
  5. Step 5: Solve for x
    x = 10,812,096,177.66/140,164.65
  6. Step 6: Final answer
    x = 77,138.54

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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.