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Finding the Fourth Proportional to 210,423.48, 315,636.06 and 52,651.48

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Solution

The fourth proportional to 210,423.48, 315,636.06 and 52,651.48 is: 78,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,423.48 : 315,636.06 = 52,651.48 : x
  2. Step 2: Convert to fraction form
    210,423.48/315,636.06 = 52,651.48/x
  3. Step 3: Cross multiply
    210,423.48x = 315,636.06 × 52,651.48
  4. Step 4: Simplify right side
    210,423.48x = 16,618,705,700.37
  5. Step 5: Solve for x
    x = 16,618,705,700.37/210,423.48
  6. Step 6: Final answer
    x = 78,977.43

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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.