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Finding the Fourth Proportional to 207,783.19, 311,814.90 and 81,407.58

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Solution

The fourth proportional to 207,783.19, 311,814.90 and 81,407.58 is: 122,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783.19 : 311,814.90 = 81,407.58 : x
  2. Step 2: Convert to fraction form
    207,783.19/311,814.90 = 81,407.58/x
  3. Step 3: Cross multiply
    207,783.19x = 311,814.90 × 81,407.58
  4. Step 4: Simplify right side
    207,783.19x = 25,384,097,345.03
  5. Step 5: Solve for x
    x = 25,384,097,345.03/207,783.19
  6. Step 6: Final answer
    x = 122,166.27

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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.