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Finding the Fourth Proportional to 100,208, 138,284.52 and 54,886.04

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Solution

The fourth proportional to 100,208, 138,284.52 and 54,886.04 is: 75,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208 : 138,284.52 = 54,886.04 : x
  2. Step 2: Convert to fraction form
    100,208/138,284.52 = 54,886.04/x
  3. Step 3: Cross multiply
    100,208x = 138,284.52 × 54,886.04
  4. Step 4: Simplify right side
    100,208x = 7,589,889,696.10
  5. Step 5: Solve for x
    x = 7,589,889,696.10/100,208
  6. Step 6: Final answer
    x = 75,741.35

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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.