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Finding the Fourth Proportional to 100,699.38, 138,964.14 and 55,376.64

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Solution

The fourth proportional to 100,699.38, 138,964.14 and 55,376.64 is: 76,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,699.38 : 138,964.14 = 55,376.64 : x
  2. Step 2: Convert to fraction form
    100,699.38/138,964.14 = 55,376.64/x
  3. Step 3: Cross multiply
    100,699.38x = 138,964.14 × 55,376.64
  4. Step 4: Simplify right side
    100,699.38x = 7,695,367,153.69
  5. Step 5: Solve for x
    x = 7,695,367,153.69/100,699.38
  6. Step 6: Final answer
    x = 76,419.21

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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.