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Finding the Fourth Proportional to 108,705.94, 149,963.13 and 76,892.38

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Solution

The fourth proportional to 108,705.94, 149,963.13 and 76,892.38 is: 106,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,705.94 : 149,963.13 = 76,892.38 : x
  2. Step 2: Convert to fraction form
    108,705.94/149,963.13 = 76,892.38/x
  3. Step 3: Cross multiply
    108,705.94x = 149,963.13 × 76,892.38
  4. Step 4: Simplify right side
    108,705.94x = 11,531,021,603.04
  5. Step 5: Solve for x
    x = 11,531,021,603.04/108,705.94
  6. Step 6: Final answer
    x = 106,075.36

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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.