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Finding the Fourth Proportional to 138,893.28, 208,354.56 and 45,398.88

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Solution

The fourth proportional to 138,893.28, 208,354.56 and 45,398.88 is: 68,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.28 : 208,354.56 = 45,398.88 : x
  2. Step 2: Convert to fraction form
    138,893.28/208,354.56 = 45,398.88/x
  3. Step 3: Cross multiply
    138,893.28x = 208,354.56 × 45,398.88
  4. Step 4: Simplify right side
    138,893.28x = 9,459,063,666.89
  5. Step 5: Solve for x
    x = 9,459,063,666.89/138,893.28
  6. Step 6: Final answer
    x = 68,103.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.