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Finding the Fourth Proportional to 100,620, 138,858.84 and 55,908

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Solution

The fourth proportional to 100,620, 138,858.84 and 55,908 is: 77,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,620 : 138,858.84 = 55,908 : x
  2. Step 2: Convert to fraction form
    100,620/138,858.84 = 55,908/x
  3. Step 3: Cross multiply
    100,620x = 138,858.84 × 55,908
  4. Step 4: Simplify right side
    100,620x = 7,763,320,026.72
  5. Step 5: Solve for x
    x = 7,763,320,026.72/100,620
  6. Step 6: Final answer
    x = 77,154.84

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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.