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Finding the Fourth Proportional to 138,961.84, 208,339.08 and 65,072.56

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Solution

The fourth proportional to 138,961.84, 208,339.08 and 65,072.56 is: 97,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,961.84 : 208,339.08 = 65,072.56 : x
  2. Step 2: Convert to fraction form
    138,961.84/208,339.08 = 65,072.56/x
  3. Step 3: Cross multiply
    138,961.84x = 208,339.08 × 65,072.56
  4. Step 4: Simplify right side
    138,961.84x = 13,557,157,283.64
  5. Step 5: Solve for x
    x = 13,557,157,283.64/138,961.84
  6. Step 6: Final answer
    x = 97,560.29

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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.