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Finding the Fourth Proportional to 100,709.04, 138,976.08 and 54,767.46

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Solution

The fourth proportional to 100,709.04, 138,976.08 and 54,767.46 is: 75,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,709.04 : 138,976.08 = 54,767.46 : x
  2. Step 2: Convert to fraction form
    100,709.04/138,976.08 = 54,767.46/x
  3. Step 3: Cross multiply
    100,709.04x = 138,976.08 × 54,767.46
  4. Step 4: Simplify right side
    100,709.04x = 7,611,366,902.36
  5. Step 5: Solve for x
    x = 7,611,366,902.36/100,709.04
  6. Step 6: Final answer
    x = 75,577.79

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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.