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Finding the Fourth Proportional to 82,262.64, 123,341.76 and 69,786.96

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Solution

The fourth proportional to 82,262.64, 123,341.76 and 69,786.96 is: 104,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.64 : 123,341.76 = 69,786.96 : x
  2. Step 2: Convert to fraction form
    82,262.64/123,341.76 = 69,786.96/x
  3. Step 3: Cross multiply
    82,262.64x = 123,341.76 × 69,786.96
  4. Step 4: Simplify right side
    82,262.64x = 8,607,646,471.45
  5. Step 5: Solve for x
    x = 8,607,646,471.45/82,262.64
  6. Step 6: Final answer
    x = 104,636.16

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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.