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Finding the Fourth Proportional to 207,953.20, 311,929.80 and 181,709.20

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Solution

The fourth proportional to 207,953.20, 311,929.80 and 181,709.20 is: 272,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.20 : 311,929.80 = 181,709.20 : x
  2. Step 2: Convert to fraction form
    207,953.20/311,929.80 = 181,709.20/x
  3. Step 3: Cross multiply
    207,953.20x = 311,929.80 × 181,709.20
  4. Step 4: Simplify right side
    207,953.20x = 56,680,514,414.16
  5. Step 5: Solve for x
    x = 56,680,514,414.16/207,953.20
  6. Step 6: Final answer
    x = 272,563.80

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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.