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Finding the Fourth Proportional to 210,423.84, 315,645.13 and 77,231.44

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Solution

The fourth proportional to 210,423.84, 315,645.13 and 77,231.44 is: 115,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,423.84 : 315,645.13 = 77,231.44 : x
  2. Step 2: Convert to fraction form
    210,423.84/315,645.13 = 77,231.44/x
  3. Step 3: Cross multiply
    210,423.84x = 315,645.13 × 77,231.44
  4. Step 4: Simplify right side
    210,423.84x = 24,377,726,340.66
  5. Step 5: Solve for x
    x = 24,377,726,340.66/210,423.84
  6. Step 6: Final answer
    x = 115,850.59

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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.