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Finding the Fourth Proportional to 203,893.14, 281,045.22 and 138,461.40

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Solution

The fourth proportional to 203,893.14, 281,045.22 and 138,461.40 is: 190,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,893.14 : 281,045.22 = 138,461.40 : x
  2. Step 2: Convert to fraction form
    203,893.14/281,045.22 = 138,461.40/x
  3. Step 3: Cross multiply
    203,893.14x = 281,045.22 × 138,461.40
  4. Step 4: Simplify right side
    203,893.14x = 38,913,914,624.51
  5. Step 5: Solve for x
    x = 38,913,914,624.51/203,893.14
  6. Step 6: Final answer
    x = 190,854.46

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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.