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Finding the Fourth Proportional to 100,326.99, 138,462.78 and 57,313.29

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Solution

The fourth proportional to 100,326.99, 138,462.78 and 57,313.29 is: 79,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,326.99 : 138,462.78 = 57,313.29 : x
  2. Step 2: Convert to fraction form
    100,326.99/138,462.78 = 57,313.29/x
  3. Step 3: Cross multiply
    100,326.99x = 138,462.78 × 57,313.29
  4. Step 4: Simplify right side
    100,326.99x = 7,935,757,464.35
  5. Step 5: Solve for x
    x = 7,935,757,464.35/100,326.99
  6. Step 6: Final answer
    x = 79,098.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.