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Finding the Fourth Proportional to 100,034.96, 138,098.37 and 77,322.62

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Solution

The fourth proportional to 100,034.96, 138,098.37 and 77,322.62 is: 106,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034.96 : 138,098.37 = 77,322.62 : x
  2. Step 2: Convert to fraction form
    100,034.96/138,098.37 = 77,322.62/x
  3. Step 3: Cross multiply
    100,034.96x = 138,098.37 × 77,322.62
  4. Step 4: Simplify right side
    100,034.96x = 10,678,127,786.13
  5. Step 5: Solve for x
    x = 10,678,127,786.13/100,034.96
  6. Step 6: Final answer
    x = 106,743.96

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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.