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Finding the Fourth Proportional to 108,356.84, 149,548.40 and 65,907.16

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Solution

The fourth proportional to 108,356.84, 149,548.40 and 65,907.16 is: 90,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,356.84 : 149,548.40 = 65,907.16 : x
  2. Step 2: Convert to fraction form
    108,356.84/149,548.40 = 65,907.16/x
  3. Step 3: Cross multiply
    108,356.84x = 149,548.40 × 65,907.16
  4. Step 4: Simplify right side
    108,356.84x = 9,856,310,326.54
  5. Step 5: Solve for x
    x = 9,856,310,326.54/108,356.84
  6. Step 6: Final answer
    x = 90,961.59

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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.