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Finding the Fourth Proportional to 210,874.60, 315,851.10 and 163,757.80

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Solution

The fourth proportional to 210,874.60, 315,851.10 and 163,757.80 is: 245,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,874.60 : 315,851.10 = 163,757.80 : x
  2. Step 2: Convert to fraction form
    210,874.60/315,851.10 = 163,757.80/x
  3. Step 3: Cross multiply
    210,874.60x = 315,851.10 × 163,757.80
  4. Step 4: Simplify right side
    210,874.60x = 51,723,081,263.58
  5. Step 5: Solve for x
    x = 51,723,081,263.58/210,874.60
  6. Step 6: Final answer
    x = 245,278.86

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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.