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Finding the Fourth Proportional to 210,612.99, 315,974.82 and 75,690.69

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Solution

The fourth proportional to 210,612.99, 315,974.82 and 75,690.69 is: 113,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,612.99 : 315,974.82 = 75,690.69 : x
  2. Step 2: Convert to fraction form
    210,612.99/315,974.82 = 75,690.69/x
  3. Step 3: Cross multiply
    210,612.99x = 315,974.82 × 75,690.69
  4. Step 4: Simplify right side
    210,612.99x = 23,916,352,148.43
  5. Step 5: Solve for x
    x = 23,916,352,148.43/210,612.99
  6. Step 6: Final answer
    x = 113,555.92

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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.