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Finding the Fourth Proportional to 210,231.92, 315,389.43 and 77,113.42

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Solution

The fourth proportional to 210,231.92, 315,389.43 and 77,113.42 is: 115,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231.92 : 315,389.43 = 77,113.42 : x
  2. Step 2: Convert to fraction form
    210,231.92/315,389.43 = 77,113.42/x
  3. Step 3: Cross multiply
    210,231.92x = 315,389.43 × 77,113.42
  4. Step 4: Simplify right side
    210,231.92x = 24,320,756,790.68
  5. Step 5: Solve for x
    x = 24,320,756,790.68/210,231.92
  6. Step 6: Final answer
    x = 115,685.37

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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.